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Finding the Fourth Proportional to 442,003, 663,201.24 and 231,591.76

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Solution

The fourth proportional to 442,003, 663,201.24 and 231,591.76 is: 347,490.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,003 : 663,201.24 = 231,591.76 : x
  2. Step 2: Convert to fraction form
    442,003/663,201.24 = 231,591.76/x
  3. Step 3: Cross multiply
    442,003x = 663,201.24 × 231,591.76
  4. Step 4: Simplify right side
    442,003x = 153,591,942,405.78
  5. Step 5: Solve for x
    x = 153,591,942,405.78/442,003
  6. Step 6: Final answer
    x = 347,490.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.