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Finding the Fourth Proportional to 432,732.32, 649,100.91 and 117,191.96

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Solution

The fourth proportional to 432,732.32, 649,100.91 and 117,191.96 is: 175,788.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,732.32 : 649,100.91 = 117,191.96 : x
  2. Step 2: Convert to fraction form
    432,732.32/649,100.91 = 117,191.96/x
  3. Step 3: Cross multiply
    432,732.32x = 649,100.91 × 117,191.96
  4. Step 4: Simplify right side
    432,732.32x = 76,069,407,880.68
  5. Step 5: Solve for x
    x = 76,069,407,880.68/432,732.32
  6. Step 6: Final answer
    x = 175,788.60

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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.