\(\frac{x}{\frac{25}{16}}=\frac{y}{\frac{5}{6}}=\frac{z}{\frac{2}{5}}=\frac{2x-3y+4z}{\frac{2.25}{16}-\frac{3.5}{6}+\frac{4.2}{5}}=\frac{5,34}{\frac{89}{40}}=240\)
\(x=\frac{25}{16}.\frac{12}{5}=\frac{15}{4}\)
\(y=\frac{5}{6}.\frac{12}{5}=2\)
\(z=\frac{2}{5}.\frac{12}{5}=\frac{24}{25}\)