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Finding the Fourth Proportional to 361,930.73, 499,464.98 and 200,785.77

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Solution

The fourth proportional to 361,930.73, 499,464.98 and 200,785.77 is: 277,084.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,930.73 : 499,464.98 = 200,785.77 : x
  2. Step 2: Convert to fraction form
    361,930.73/499,464.98 = 200,785.77/x
  3. Step 3: Cross multiply
    361,930.73x = 499,464.98 × 200,785.77
  4. Step 4: Simplify right side
    361,930.73x = 100,285,459,593.41
  5. Step 5: Solve for x
    x = 100,285,459,593.41/361,930.73
  6. Step 6: Final answer
    x = 277,084.68

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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.