On January $1,2024,$ a company adopted the dollar$-$value LIFO inventory method. The inventory value for its one inventory pool on this date w$$s $$305,000.$ An internally generated cost index is used to convert ending inventory to base year. Year$-$end inventories at yearend costs and cost indexes for its one inventory pool were as follows:

$\backslash$table$[[\backslash$table$[[$Year Ended$],[$December $31]],\backslash$table$[[$Inventory$],[$Year$-$End Costs$]],\backslash$table$[[$Cost Index $($Relative$],[$to Base Year$)]]],[2024,$$$390,660,1\mathrm{.}02],[2025,402,800,1\mathrm{.}06],[2026,457,960,1\mathrm{.}07],[2027,491,700,1\mathrm{.}10]]$

Required:

Calculate inventory amounts at the end of each year.

Note: Round intermediate calculations and final answers to the nearest whole dollars.

$\backslash$table$[[$Date$,\backslash$table$[[$Inventory Layers Converted to$],[$Base Year Cost$]],$Inventory Layers Converled to Cost,$\backslash$table$[[$Inventory DVL$],[$Cost$]]],[\backslash$table$[[$Inventory at$],[$Year$-$End Cost$]],\backslash$table$[[$Inventory$],[$Layers at Base$],[$Year Cost$]],,\backslash$table$[[$Inventory$],[$Layers at Base$],[$Year Cost$]],\backslash$table$[[$Inventory$],[$Layers$],[$Converted to$],[$Cost$]],,],[\frac{01}{01}\frac{?}{2024},$$$,305,000,\backslash$table$[[$$$,1]],$Base,$$,305,000,305,000,$$$,305,000],[\frac{12}{31}\frac{?}{2024},$$$,390,660,\backslash$table$[[$$$,1]],$Base,$$,305,000,$$$,305,000,18,],[,2,\stackrel{}{x},2024,5,-,$$$,305,000],[\frac{12}{31}\frac{?}{2025},$$$,402,800,$$$,$Base,,,D$.,],[,,2,2024,,,3,],[,+2\mathrm{.}2+1,2,2025,,2127,$$$,0],[\frac{12}{31}\frac{?}{2026},$$$,457,960,\backslash$table$[[$$$,1]],$Base,,,,$],[,5,,2024,,,18,],[2,,2,2025,2,,2,],[x+2,,,2026,2,,$$$,0],[\frac{12}{31}\frac{?}{2027},$$$,491,700,,$Base,$2,+2,8,T$