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Finding the Fourth Proportional to 516,757.70, 775,086.40 and 156,931.65

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Solution

The fourth proportional to 516,757.70, 775,086.40 and 156,931.65 is: 235,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,757.70 : 775,086.40 = 156,931.65 : x
  2. Step 2: Convert to fraction form
    516,757.70/775,086.40 = 156,931.65/x
  3. Step 3: Cross multiply
    516,757.70x = 775,086.40 × 156,931.65
  4. Step 4: Simplify right side
    516,757.70x = 121,635,587,644.56
  5. Step 5: Solve for x
    x = 121,635,587,644.56/516,757.70
  6. Step 6: Final answer
    x = 235,382.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.