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Finding the Fourth Proportional to 398,993.36, 598,587.60 and 132,753.20

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Solution

The fourth proportional to 398,993.36, 598,587.60 and 132,753.20 is: 199,162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,993.36 : 598,587.60 = 132,753.20 : x
  2. Step 2: Convert to fraction form
    398,993.36/598,587.60 = 132,753.20/x
  3. Step 3: Cross multiply
    398,993.36x = 598,587.60 × 132,753.20
  4. Step 4: Simplify right side
    398,993.36x = 79,464,419,380.32
  5. Step 5: Solve for x
    x = 79,464,419,380.32/398,993.36
  6. Step 6: Final answer
    x = 199,162.26

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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.