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Finding the Fourth Proportional to 361,591.43, 498,962.63 and 200,432.78

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Solution

The fourth proportional to 361,591.43, 498,962.63 and 200,432.78 is: 276,578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,591.43 : 498,962.63 = 200,432.78 : x
  2. Step 2: Convert to fraction form
    361,591.43/498,962.63 = 200,432.78/x
  3. Step 3: Cross multiply
    361,591.43x = 498,962.63 × 200,432.78
  4. Step 4: Simplify right side
    361,591.43x = 100,008,465,053.28
  5. Step 5: Solve for x
    x = 100,008,465,053.28/361,591.43
  6. Step 6: Final answer
    x = 276,578.64

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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.