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Finding the Fourth Proportional to 418,645.60, 627,880.50 and 138,097.12

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Solution

The fourth proportional to 418,645.60, 627,880.50 and 138,097.12 is: 207,116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,645.60 : 627,880.50 = 138,097.12 : x
  2. Step 2: Convert to fraction form
    418,645.60/627,880.50 = 138,097.12/x
  3. Step 3: Cross multiply
    418,645.60x = 627,880.50 × 138,097.12
  4. Step 4: Simplify right side
    418,645.60x = 86,708,488,754.16
  5. Step 5: Solve for x
    x = 86,708,488,754.16/418,645.60
  6. Step 6: Final answer
    x = 207,116.68

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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.