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Finding the Fourth Proportional to 361,793.24, 499,304.60 and 200,700.33

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Solution

The fourth proportional to 361,793.24, 499,304.60 and 200,700.33 is: 276,983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,793.24 : 499,304.60 = 200,700.33 : x
  2. Step 2: Convert to fraction form
    361,793.24/499,304.60 = 200,700.33/x
  3. Step 3: Cross multiply
    361,793.24x = 499,304.60 × 200,700.33
  4. Step 4: Simplify right side
    361,793.24x = 100,210,597,990.52
  5. Step 5: Solve for x
    x = 100,210,597,990.52/361,793.24
  6. Step 6: Final answer
    x = 276,983.06

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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.