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Finding the Fourth Proportional to 361,934.09, 499,469.64 and 200,789.14

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Solution

The fourth proportional to 361,934.09, 499,469.64 and 200,789.14 is: 277,089.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,934.09 : 499,469.64 = 200,789.14 : x
  2. Step 2: Convert to fraction form
    361,934.09/499,469.64 = 200,789.14/x
  3. Step 3: Cross multiply
    361,934.09x = 499,469.64 × 200,789.14
  4. Step 4: Simplify right side
    361,934.09x = 100,288,079,471.71
  5. Step 5: Solve for x
    x = 100,288,079,471.71/361,934.09
  6. Step 6: Final answer
    x = 277,089.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.