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Finding the Fourth Proportional to 442,969.20, 664,453.80 and 380,761.20

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Solution

The fourth proportional to 442,969.20, 664,453.80 and 380,761.20 is: 571,141.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,969.20 : 664,453.80 = 380,761.20 : x
  2. Step 2: Convert to fraction form
    442,969.20/664,453.80 = 380,761.20/x
  3. Step 3: Cross multiply
    442,969.20x = 664,453.80 × 380,761.20
  4. Step 4: Simplify right side
    442,969.20x = 252,998,226,232.56
  5. Step 5: Solve for x
    x = 252,998,226,232.56/442,969.20
  6. Step 6: Final answer
    x = 571,141.80

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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.