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Finding the Fourth Proportional to 493,034.50, 739,553.90 and 156,076.80

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Solution

The fourth proportional to 493,034.50, 739,553.90 and 156,076.80 is: 234,115.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,034.50 : 739,553.90 = 156,076.80 : x
  2. Step 2: Convert to fraction form
    493,034.50/739,553.90 = 156,076.80/x
  3. Step 3: Cross multiply
    493,034.50x = 739,553.90 × 156,076.80
  4. Step 4: Simplify right side
    493,034.50x = 115,427,206,139.52
  5. Step 5: Solve for x
    x = 115,427,206,139.52/493,034.50
  6. Step 6: Final answer
    x = 234,115.88

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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.