The Genworth Company adopted the dollar$-$value LIFO $($DVL$)$ method on January $1,2024$ when the inventory value of its one inventory pool was $$666,000.$ The company decided to use an external index, the Consumer Price Index $($CPI$),$ to adjust for changes in the cost level. On January $1,2024,$ the CPI was $240.$ On December $31,2024,$ inventory valued at year$-$end cost was $$756,000$ and the CPI was $252.$

Required:

Calculate the inventory value at the end of $2024$ using the dollar$-$value LIFO method.