A company uses the dollar$-$value LIFO method of computing inventory. An external price index is used to convert ending inventory to base year. The company began operations on January $1,2024,$ with an inventory of $$265,000.$ Year$-$end inventories at year$-$end costs and cost indexes for its one inventory pool were as follows:

$\backslash$table$[[$Year Ended,$\backslash$table$[[$Ending Inventory at Cost$],[$Year$-$End Costs$]],\backslash$table$[[$Index $($Relative to$],[$Base Year$)]]],[$December $31,$$$336,600,1\mathrm{.}02],[2024,427,350,1\mathrm{.}11],[2025,405,000,1\mathrm{.}08],[2026,395,200,1\mathrm{.}04]]$

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 Converted 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$]],,],[01/01/2024,,,$Base,,,$$,0],[12/31/2024,,,$Base,,,,$],[,,2024,,,$$$,0],[\frac{12}{31}\frac{?}{2025},,,$Base,,,,$],[,,2024,,,,],[,,2025,,,$$$,0],[12/31/2026,,,$Base,,,,$],[,,2024,,,,],[,,2025,,,,],[,,2026,,,$$$,0],[12/31/2027,,,$Base,,,,$],[,,2024,,,,],[,,2025,,,,],[,,2026,,,,],[,,2027,,,$$$,0]]$