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Finding the Fourth Proportional to 502,150.59, 755,940.66 and 457,459.17

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Solution

The fourth proportional to 502,150.59, 755,940.66 and 457,459.17 is: 688,661.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,150.59 : 755,940.66 = 457,459.17 : x
  2. Step 2: Convert to fraction form
    502,150.59/755,940.66 = 457,459.17/x
  3. Step 3: Cross multiply
    502,150.59x = 755,940.66 × 457,459.17
  4. Step 4: Simplify right side
    502,150.59x = 345,811,986,892.85
  5. Step 5: Solve for x
    x = 345,811,986,892.85/502,150.59
  6. Step 6: Final answer
    x = 688,661.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.