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Finding the Fourth Proportional to 527,793.17, 728,336.87 and 312,805.61

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Solution

The fourth proportional to 527,793.17, 728,336.87 and 312,805.61 is: 431,661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,793.17 : 728,336.87 = 312,805.61 : x
  2. Step 2: Convert to fraction form
    527,793.17/728,336.87 = 312,805.61/x
  3. Step 3: Cross multiply
    527,793.17x = 728,336.87 × 312,805.61
  4. Step 4: Simplify right side
    527,793.17x = 227,827,853,700.13
  5. Step 5: Solve for x
    x = 227,827,853,700.13/527,793.17
  6. Step 6: Final answer
    x = 431,661.24

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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.