Use a financial calculator: $(10$ points$)$ Josephine must repay two loans, and the total amount for these two loans is $x.$ Loan $1$ requires $n$ level payments of $Y$ made at the end of each year. Loan $2$ requires $3n$ level payments of $Y$ made at the end of each year. The annual effective interest rate for both of the loans is $5\mathrm{.}5\%.$ Also the loan amount for Loan $1$ is $0\mathrm{.}2795748619x.$ Find $n.$