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Finding the Fourth Proportional to 361,410.34, 498,766.17 and 200,261.86

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Solution

The fourth proportional to 361,410.34, 498,766.17 and 200,261.86 is: 276,372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,410.34 : 498,766.17 = 200,261.86 : x
  2. Step 2: Convert to fraction form
    361,410.34/498,766.17 = 200,261.86/x
  3. Step 3: Cross multiply
    361,410.34x = 498,766.17 × 200,261.86
  4. Step 4: Simplify right side
    361,410.34x = 99,883,840,909.28
  5. Step 5: Solve for x
    x = 99,883,840,909.28/361,410.34
  6. Step 6: Final answer
    x = 276,372.39

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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.