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Finding the Fourth Proportional to 361,854.56, 499,419.04 and 200,761.48

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Solution

The fourth proportional to 361,854.56, 499,419.04 and 200,761.48 is: 277,083.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,854.56 : 499,419.04 = 200,761.48 : x
  2. Step 2: Convert to fraction form
    361,854.56/499,419.04 = 200,761.48/x
  3. Step 3: Cross multiply
    361,854.56x = 499,419.04 × 200,761.48
  4. Step 4: Simplify right side
    361,854.56x = 100,264,105,610.58
  5. Step 5: Solve for x
    x = 100,264,105,610.58/361,854.56
  6. Step 6: Final answer
    x = 277,083.99

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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.