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Finding the Fourth Proportional to 418,247.35, 627,016.32 and 165,706.26

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Solution

The fourth proportional to 418,247.35, 627,016.32 and 165,706.26 is: 248,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,247.35 : 627,016.32 = 165,706.26 : x
  2. Step 2: Convert to fraction form
    418,247.35/627,016.32 = 165,706.26/x
  3. Step 3: Cross multiply
    418,247.35x = 627,016.32 × 165,706.26
  4. Step 4: Simplify right side
    418,247.35x = 103,900,526,528.80
  5. Step 5: Solve for x
    x = 103,900,526,528.80/418,247.35
  6. Step 6: Final answer
    x = 248,418.85

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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.