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Finding the Fourth Proportional to 498,099.20, 747,051.60 and 161,058.20

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Solution

The fourth proportional to 498,099.20, 747,051.60 and 161,058.20 is: 241,555.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,099.20 : 747,051.60 = 161,058.20 : x
  2. Step 2: Convert to fraction form
    498,099.20/747,051.60 = 161,058.20/x
  3. Step 3: Cross multiply
    498,099.20x = 747,051.60 × 161,058.20
  4. Step 4: Simplify right side
    498,099.20x = 120,318,786,003.12
  5. Step 5: Solve for x
    x = 120,318,786,003.12/498,099.20
  6. Step 6: Final answer
    x = 241,555.87

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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.