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Finding the Fourth Proportional to 498,753.60, 748,227.60 and 214,443.60

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Solution

The fourth proportional to 498,753.60, 748,227.60 and 214,443.60 is: 321,707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,753.60 : 748,227.60 = 214,443.60 : x
  2. Step 2: Convert to fraction form
    498,753.60/748,227.60 = 214,443.60/x
  3. Step 3: Cross multiply
    498,753.60x = 748,227.60 × 214,443.60
  4. Step 4: Simplify right side
    498,753.60x = 160,452,620,163.36
  5. Step 5: Solve for x
    x = 160,452,620,163.36/498,753.60
  6. Step 6: Final answer
    x = 321,707.19

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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.