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Finding the Fourth Proportional to 527,263.70, 727,614.92 and 285,544.31

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Solution

The fourth proportional to 527,263.70, 727,614.92 and 285,544.31 is: 394,046.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,263.70 : 727,614.92 = 285,544.31 : x
  2. Step 2: Convert to fraction form
    527,263.70/727,614.92 = 285,544.31/x
  3. Step 3: Cross multiply
    527,263.70x = 727,614.92 × 285,544.31
  4. Step 4: Simplify right side
    527,263.70x = 207,766,298,849.38
  5. Step 5: Solve for x
    x = 207,766,298,849.38/527,263.70
  6. Step 6: Final answer
    x = 394,046.28

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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.