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Finding the Fourth Proportional to 361,773.16, 499,214.00 and 200,627.71

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Solution

The fourth proportional to 361,773.16, 499,214.00 and 200,627.71 is: 276,847.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,773.16 : 499,214.00 = 200,627.71 : x
  2. Step 2: Convert to fraction form
    361,773.16/499,214.00 = 200,627.71/x
  3. Step 3: Cross multiply
    361,773.16x = 499,214.00 × 200,627.71
  4. Step 4: Simplify right side
    361,773.16x = 100,156,160,873.47
  5. Step 5: Solve for x
    x = 100,156,160,873.47/361,773.16
  6. Step 6: Final answer
    x = 276,847.96

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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.