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Finding the Fourth Proportional to 527,451.38, 727,884.78 and 285,733.34

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Solution

The fourth proportional to 527,451.38, 727,884.78 and 285,733.34 is: 394,313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,451.38 : 727,884.78 = 285,733.34 : x
  2. Step 2: Convert to fraction form
    527,451.38/727,884.78 = 285,733.34/x
  3. Step 3: Cross multiply
    527,451.38x = 727,884.78 × 285,733.34
  4. Step 4: Simplify right side
    527,451.38x = 207,980,945,685.14
  5. Step 5: Solve for x
    x = 207,980,945,685.14/527,451.38
  6. Step 6: Final answer
    x = 394,313.02

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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.