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Finding the Fourth Proportional to 432,901.80, 649,352.70 and 117,358.20

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Solution

The fourth proportional to 432,901.80, 649,352.70 and 117,358.20 is: 176,037.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,901.80 : 649,352.70 = 117,358.20 : x
  2. Step 2: Convert to fraction form
    432,901.80/649,352.70 = 117,358.20/x
  3. Step 3: Cross multiply
    432,901.80x = 649,352.70 × 117,358.20
  4. Step 4: Simplify right side
    432,901.80x = 76,206,864,037.14
  5. Step 5: Solve for x
    x = 76,206,864,037.14/432,901.80
  6. Step 6: Final answer
    x = 176,037.30

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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.