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Finding the Fourth Proportional to 418,343.56, 627,772.92 and 165,581.04

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Solution

The fourth proportional to 418,343.56, 627,772.92 and 165,581.04 is: 248,473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,343.56 : 627,772.92 = 165,581.04 : x
  2. Step 2: Convert to fraction form
    418,343.56/627,772.92 = 165,581.04/x
  3. Step 3: Cross multiply
    418,343.56x = 627,772.92 × 165,581.04
  4. Step 4: Simplify right side
    418,343.56x = 103,947,292,977.44
  5. Step 5: Solve for x
    x = 103,947,292,977.44/418,343.56
  6. Step 6: Final answer
    x = 248,473.51

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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.