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Finding the Fourth Proportional to 331,753.10, 497,629.65 and 82,435.10

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Solution

The fourth proportional to 331,753.10, 497,629.65 and 82,435.10 is: 123,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,753.10 : 497,629.65 = 82,435.10 : x
  2. Step 2: Convert to fraction form
    331,753.10/497,629.65 = 82,435.10/x
  3. Step 3: Cross multiply
    331,753.10x = 497,629.65 × 82,435.10
  4. Step 4: Simplify right side
    331,753.10x = 41,022,149,960.72
  5. Step 5: Solve for x
    x = 41,022,149,960.72/331,753.10
  6. Step 6: Final answer
    x = 123,652.65

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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.