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Finding the Fourth Proportional to 331,787.25, 497,682.70 and 82,469.25

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Solution

The fourth proportional to 331,787.25, 497,682.70 and 82,469.25 is: 123,704.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,787.25 : 497,682.70 = 82,469.25 : x
  2. Step 2: Convert to fraction form
    331,787.25/497,682.70 = 82,469.25/x
  3. Step 3: Cross multiply
    331,787.25x = 497,682.70 × 82,469.25
  4. Step 4: Simplify right side
    331,787.25x = 41,043,518,800.80
  5. Step 5: Solve for x
    x = 41,043,518,800.80/331,787.25
  6. Step 6: Final answer
    x = 123,704.33

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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.