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Finding the Fourth Proportional to 498,337.20, 747,408.60 and 161,296.20

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Solution

The fourth proportional to 498,337.20, 747,408.60 and 161,296.20 is: 241,912.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,337.20 : 747,408.60 = 161,296.20 : x
  2. Step 2: Convert to fraction form
    498,337.20/747,408.60 = 161,296.20/x
  3. Step 3: Cross multiply
    498,337.20x = 747,408.60 × 161,296.20
  4. Step 4: Simplify right side
    498,337.20x = 120,554,167,027.32
  5. Step 5: Solve for x
    x = 120,554,167,027.32/498,337.20
  6. Step 6: Final answer
    x = 241,912.84

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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.