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Finding the Fourth Proportional to 527,189.33, 727,524.74 and 285,471.92

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Solution

The fourth proportional to 527,189.33, 727,524.74 and 285,471.92 is: 393,953.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,189.33 : 727,524.74 = 285,471.92 : x
  2. Step 2: Convert to fraction form
    527,189.33/727,524.74 = 285,471.92/x
  3. Step 3: Cross multiply
    527,189.33x = 727,524.74 × 285,471.92
  4. Step 4: Simplify right side
    527,189.33x = 207,687,884,375.30
  5. Step 5: Solve for x
    x = 207,687,884,375.30/527,189.33
  6. Step 6: Final answer
    x = 393,953.13

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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.