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Finding the Fourth Proportional to 432,842.52, 649,296.46 and 129,212.74

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Solution

The fourth proportional to 432,842.52, 649,296.46 and 129,212.74 is: 193,828.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,842.52 : 649,296.46 = 129,212.74 : x
  2. Step 2: Convert to fraction form
    432,842.52/649,296.46 = 129,212.74/x
  3. Step 3: Cross multiply
    432,842.52x = 649,296.46 × 129,212.74
  4. Step 4: Simplify right side
    432,842.52x = 83,897,374,668.90
  5. Step 5: Solve for x
    x = 83,897,374,668.90/432,842.52
  6. Step 6: Final answer
    x = 193,828.87

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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.