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Finding the Fourth Proportional to 361,923.62, 499,414.32 and 200,738.30

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Solution

The fourth proportional to 361,923.62, 499,414.32 and 200,738.30 is: 276,996.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,923.62 : 499,414.32 = 200,738.30 : x
  2. Step 2: Convert to fraction form
    361,923.62/499,414.32 = 200,738.30/x
  3. Step 3: Cross multiply
    361,923.62x = 499,414.32 × 200,738.30
  4. Step 4: Simplify right side
    361,923.62x = 100,251,581,592.46
  5. Step 5: Solve for x
    x = 100,251,581,592.46/361,923.62
  6. Step 6: Final answer
    x = 276,996.52

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