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Finding the Fourth Proportional to 432,732.82, 649,101.66 and 117,192.46

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Solution

The fourth proportional to 432,732.82, 649,101.66 and 117,192.46 is: 175,789.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,732.82 : 649,101.66 = 117,192.46 : x
  2. Step 2: Convert to fraction form
    432,732.82/649,101.66 = 117,192.46/x
  3. Step 3: Cross multiply
    432,732.82x = 649,101.66 × 117,192.46
  4. Step 4: Simplify right side
    432,732.82x = 76,069,820,325.48
  5. Step 5: Solve for x
    x = 76,069,820,325.48/432,732.82
  6. Step 6: Final answer
    x = 175,789.35

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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.