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Finding the Fourth Proportional to 498,190.20, 747,296.84 and 178,363.92

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Solution

The fourth proportional to 498,190.20, 747,296.84 and 178,363.92 is: 267,550.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,190.20 : 747,296.84 = 178,363.92 : x
  2. Step 2: Convert to fraction form
    498,190.20/747,296.84 = 178,363.92/x
  3. Step 3: Cross multiply
    498,190.20x = 747,296.84 × 178,363.92
  4. Step 4: Simplify right side
    498,190.20x = 133,290,793,786.01
  5. Step 5: Solve for x
    x = 133,290,793,786.01/498,190.20
  6. Step 6: Final answer
    x = 267,550.01

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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.