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Finding the Fourth Proportional to 502,410.36, 752,738.01 and 418,708.41

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Solution

The fourth proportional to 502,410.36, 752,738.01 and 418,708.41 is: 627,331.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,410.36 : 752,738.01 = 418,708.41 : x
  2. Step 2: Convert to fraction form
    502,410.36/752,738.01 = 418,708.41/x
  3. Step 3: Cross multiply
    502,410.36x = 752,738.01 × 418,708.41
  4. Step 4: Simplify right side
    502,410.36x = 315,177,730,920.74
  5. Step 5: Solve for x
    x = 315,177,730,920.74/502,410.36
  6. Step 6: Final answer
    x = 627,331.27

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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.