The Sages are planning for a retirement home. They estimate they will need $$220,0004$ years from now to purchase this home. Assuming an interest rate of $10\%,$ the four equal amounts are deposited at the beginning of the period rather than at the end. In this case, what amount must be$.$deposited at the beginning of each period? $($Round factor values to $5$ decimal places, e$.$g$.1\mathrm{.}25124.$ Round answer to $2$ decimal places, e$.$g$.5,275\mathrm{.}24.)$

Click here to view factor tables.

Amount deposited each year

$