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Finding the Fourth Proportional to 462,967.62, 694,517.96 and 143,144.44

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Solution

The fourth proportional to 462,967.62, 694,517.96 and 143,144.44 is: 214,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,967.62 : 694,517.96 = 143,144.44 : x
  2. Step 2: Convert to fraction form
    462,967.62/694,517.96 = 143,144.44/x
  3. Step 3: Cross multiply
    462,967.62x = 694,517.96 × 143,144.44
  4. Step 4: Simplify right side
    462,967.62x = 99,416,380,981.55
  5. Step 5: Solve for x
    x = 99,416,380,981.55/462,967.62
  6. Step 6: Final answer
    x = 214,737.22

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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.