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Finding the Fourth Proportional to 418,414.52, 627,889.08 and 152,149.70

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Solution

The fourth proportional to 418,414.52, 627,889.08 and 152,149.70 is: 228,321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,414.52 : 627,889.08 = 152,149.70 : x
  2. Step 2: Convert to fraction form
    418,414.52/627,889.08 = 152,149.70/x
  3. Step 3: Cross multiply
    418,414.52x = 627,889.08 × 152,149.70
  4. Step 4: Simplify right side
    418,414.52x = 95,533,135,155.28
  5. Step 5: Solve for x
    x = 95,533,135,155.28/418,414.52
  6. Step 6: Final answer
    x = 228,321.75

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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.