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Finding the Fourth Proportional to 432,863.97, 649,295.94 and 117,320.87

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Solution

The fourth proportional to 432,863.97, 649,295.94 and 117,320.87 is: 175,981.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,863.97 : 649,295.94 = 117,320.87 : x
  2. Step 2: Convert to fraction form
    432,863.97/649,295.94 = 117,320.87/x
  3. Step 3: Cross multiply
    432,863.97x = 649,295.94 × 117,320.87
  4. Step 4: Simplify right side
    432,863.97x = 76,175,964,568.27
  5. Step 5: Solve for x
    x = 76,175,964,568.27/432,863.97
  6. Step 6: Final answer
    x = 175,981.30

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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.