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Finding the Fourth Proportional to 363,877.92, 546,002.64 and 150,806.88

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Solution

The fourth proportional to 363,877.92, 546,002.64 and 150,806.88 is: 226,287.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,877.92 : 546,002.64 = 150,806.88 : x
  2. Step 2: Convert to fraction form
    363,877.92/546,002.64 = 150,806.88/x
  3. Step 3: Cross multiply
    363,877.92x = 546,002.64 × 150,806.88
  4. Step 4: Simplify right side
    363,877.92x = 82,340,954,610.16
  5. Step 5: Solve for x
    x = 82,340,954,610.16/363,877.92
  6. Step 6: Final answer
    x = 226,287.31

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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.