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Finding the Fourth Proportional to 432,858.60, 649,287.90 and 327,882.60

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Solution

The fourth proportional to 432,858.60, 649,287.90 and 327,882.60 is: 491,823.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,858.60 : 649,287.90 = 327,882.60 : x
  2. Step 2: Convert to fraction form
    432,858.60/649,287.90 = 327,882.60/x
  3. Step 3: Cross multiply
    432,858.60x = 649,287.90 × 327,882.60
  4. Step 4: Simplify right side
    432,858.60x = 212,890,204,800.54
  5. Step 5: Solve for x
    x = 212,890,204,800.54/432,858.60
  6. Step 6: Final answer
    x = 491,823.90

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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.