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Finding the Fourth Proportional to 418,522.08, 627,694.56 and 137,972.64

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Solution

The fourth proportional to 418,522.08, 627,694.56 and 137,972.64 is: 206,929.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,522.08 : 627,694.56 = 137,972.64 : x
  2. Step 2: Convert to fraction form
    418,522.08/627,694.56 = 137,972.64/x
  3. Step 3: Cross multiply
    418,522.08x = 627,694.56 × 137,972.64
  4. Step 4: Simplify right side
    418,522.08x = 86,604,675,556.84
  5. Step 5: Solve for x
    x = 86,604,675,556.84/418,522.08
  6. Step 6: Final answer
    x = 206,929.76

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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.