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Finding the Fourth Proportional to 361,933.92, 499,469.40 and 200,788.98

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Solution

The fourth proportional to 361,933.92, 499,469.40 and 200,788.98 is: 277,089.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,933.92 : 499,469.40 = 200,788.98 : x
  2. Step 2: Convert to fraction form
    361,933.92/499,469.40 = 200,788.98/x
  3. Step 3: Cross multiply
    361,933.92x = 499,469.40 × 200,788.98
  4. Step 4: Simplify right side
    361,933.92x = 100,287,951,367.21
  5. Step 5: Solve for x
    x = 100,287,951,367.21/361,933.92
  6. Step 6: Final answer
    x = 277,089.12

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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.