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Finding the Fourth Proportional to 361,947.96, 499,442.76 and 200,761.20

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Solution

The fourth proportional to 361,947.96, 499,442.76 and 200,761.20 is: 277,025.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,947.96 : 499,442.76 = 200,761.20 : x
  2. Step 2: Convert to fraction form
    361,947.96/499,442.76 = 200,761.20/x
  3. Step 3: Cross multiply
    361,947.96x = 499,442.76 × 200,761.20
  4. Step 4: Simplify right side
    361,947.96x = 100,268,727,828.91
  5. Step 5: Solve for x
    x = 100,268,727,828.91/361,947.96
  6. Step 6: Final answer
    x = 277,025.26

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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.