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Finding the Fourth Proportional to 432,737.82, 649,109.16 and 117,197.46

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Solution

The fourth proportional to 432,737.82, 649,109.16 and 117,197.46 is: 175,796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,737.82 : 649,109.16 = 117,197.46 : x
  2. Step 2: Convert to fraction form
    432,737.82/649,109.16 = 117,197.46/x
  3. Step 3: Cross multiply
    432,737.82x = 649,109.16 × 117,197.46
  4. Step 4: Simplify right side
    432,737.82x = 76,073,944,814.73
  5. Step 5: Solve for x
    x = 76,073,944,814.73/432,737.82
  6. Step 6: Final answer
    x = 175,796.85

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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.