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Finding the Fourth Proportional to 361,940.90, 499,508.84 and 200,793.15

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Solution

The fourth proportional to 361,940.90, 499,508.84 and 200,793.15 is: 277,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,940.90 : 499,508.84 = 200,793.15 : x
  2. Step 2: Convert to fraction form
    361,940.90/499,508.84 = 200,793.15/x
  3. Step 3: Cross multiply
    361,940.90x = 499,508.84 × 200,793.15
  4. Step 4: Simplify right side
    361,940.90x = 100,297,953,938.43
  5. Step 5: Solve for x
    x = 100,297,953,938.43/361,940.90
  6. Step 6: Final answer
    x = 277,111.42

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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.