Finding the Fourth Proportional to 300,714, 414,985.32 and 166,578
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Solution
The fourth proportional to 300,714, 414,985.32 and 166,578 is: 229,877.64
Step by Step Solution
- Step 1: Write the proportion equation
300,714 : 414,985.32 = 166,578 : x - Step 2: Convert to fraction form
300,714/414,985.32 = 166,578/x - Step 3: Cross multiply
300,714x = 414,985.32 × 166,578 - Step 4: Simplify right side
300,714x = 69,127,424,634.96 - Step 5: Solve for x
x = 69,127,424,634.96/300,714 - Step 6: Final answer
x = 229,877.64
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.