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Finding the Fourth Proportional to 331,576.60, 497,364.90 and 82,258.60

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Solution

The fourth proportional to 331,576.60, 497,364.90 and 82,258.60 is: 123,387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,576.60 : 497,364.90 = 82,258.60 : x
  2. Step 2: Convert to fraction form
    331,576.60/497,364.90 = 82,258.60/x
  3. Step 3: Cross multiply
    331,576.60x = 497,364.90 × 82,258.60
  4. Step 4: Simplify right side
    331,576.60x = 40,912,540,363.14
  5. Step 5: Solve for x
    x = 40,912,540,363.14/331,576.60
  6. Step 6: Final answer
    x = 123,387.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.