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Finding the Fourth Proportional to 458,116.96, 632,200.32 and 254,198.88

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Solution

The fourth proportional to 458,116.96, 632,200.32 and 254,198.88 is: 350,793.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,116.96 : 632,200.32 = 254,198.88 : x
  2. Step 2: Convert to fraction form
    458,116.96/632,200.32 = 254,198.88/x
  3. Step 3: Cross multiply
    458,116.96x = 632,200.32 × 254,198.88
  4. Step 4: Simplify right side
    458,116.96x = 160,704,613,279.64
  5. Step 5: Solve for x
    x = 160,704,613,279.64/458,116.96
  6. Step 6: Final answer
    x = 350,793.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.