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Finding the Fourth Proportional to 520,917.20, 781,375.80 and 408,942.80

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Solution

The fourth proportional to 520,917.20, 781,375.80 and 408,942.80 is: 613,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,917.20 : 781,375.80 = 408,942.80 : x
  2. Step 2: Convert to fraction form
    520,917.20/781,375.80 = 408,942.80/x
  3. Step 3: Cross multiply
    520,917.20x = 781,375.80 × 408,942.80
  4. Step 4: Simplify right side
    520,917.20x = 319,538,007,504.24
  5. Step 5: Solve for x
    x = 319,538,007,504.24/520,917.20
  6. Step 6: Final answer
    x = 613,414.20

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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.