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Finding the Fourth Proportional to 462,874.75, 694,132.65 and 159,211.17

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Solution

The fourth proportional to 462,874.75, 694,132.65 and 159,211.17 is: 238,755.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,874.75 : 694,132.65 = 159,211.17 : x
  2. Step 2: Convert to fraction form
    462,874.75/694,132.65 = 159,211.17/x
  3. Step 3: Cross multiply
    462,874.75x = 694,132.65 × 159,211.17
  4. Step 4: Simplify right side
    462,874.75x = 110,513,671,341.70
  5. Step 5: Solve for x
    x = 110,513,671,341.70/462,874.75
  6. Step 6: Final answer
    x = 238,755.02

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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.