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Finding the Fourth Proportional to 498,104.20, 747,059.10 and 161,063.20

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Solution

The fourth proportional to 498,104.20, 747,059.10 and 161,063.20 is: 241,563.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,104.20 : 747,059.10 = 161,063.20 : x
  2. Step 2: Convert to fraction form
    498,104.20/747,059.10 = 161,063.20/x
  3. Step 3: Cross multiply
    498,104.20x = 747,059.10 × 161,063.20
  4. Step 4: Simplify right side
    498,104.20x = 120,323,729,235.12
  5. Step 5: Solve for x
    x = 120,323,729,235.12/498,104.20
  6. Step 6: Final answer
    x = 241,563.37

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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.