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Finding the Fourth Proportional to 361,866.56, 499,435.60 and 200,773.52

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Solution

The fourth proportional to 361,866.56, 499,435.60 and 200,773.52 is: 277,100.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,866.56 : 499,435.60 = 200,773.52 : x
  2. Step 2: Convert to fraction form
    361,866.56/499,435.60 = 200,773.52/x
  3. Step 3: Cross multiply
    361,866.56x = 499,435.60 × 200,773.52
  4. Step 4: Simplify right side
    361,866.56x = 100,273,443,425.31
  5. Step 5: Solve for x
    x = 100,273,443,425.31/361,866.56
  6. Step 6: Final answer
    x = 277,100.61

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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.