A client has been depositing $$250$ at the end of every month into a retirement savings account for the last $10$ years. Based on her current income, you have recommended that she increase her end$-$of$-$month contributions to $$425.$ How much will your client have altogether when she retires in $15$ years from now if her savings earn $6\%$ compounded quarterly during the entire $25-$year period? $($Do not round intermediate calculations. Round your final answer to $2$ decimal places.$)$

Retirement savings account $