Answer the question on the basis of the information given below:
A certain perfume is available at a duty-free shop at the Bangkok international airport. It is priced in the Thai currency Baht but other currencies are also acceptable. In particular, the shop accepts Euro and US Dollar at the following rates of exchange: US $\$1=41$ Bahts and $1$ Euro$=46$ Bahts.
The perfume is priced at $520$ Bahts per bottle. After $1$ bottle is purchased, subsequent bottles are available at a discount of $30\%.$ Three friend S, R and M together purchase three bottles of the perfume, agreeing to share the cost equally. R pays $2$ Euros. M pays $4$ Euros and $27$ Thai Bahts and S pays the remaining amount in US Dollars.
How much does M owe to S in US Dollars?