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Finding the Fourth Proportional to 361,763.44, 499,200.90 and 200,618.08

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Solution

The fourth proportional to 361,763.44, 499,200.90 and 200,618.08 is: 276,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,763.44 : 499,200.90 = 200,618.08 : x
  2. Step 2: Convert to fraction form
    361,763.44/499,200.90 = 200,618.08/x
  3. Step 3: Cross multiply
    361,763.44x = 499,200.90 × 200,618.08
  4. Step 4: Simplify right side
    361,763.44x = 100,148,726,092.27
  5. Step 5: Solve for x
    x = 100,148,726,092.27/361,763.44
  6. Step 6: Final answer
    x = 276,834.85

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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.