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Finding the Fourth Proportional to 331,340.20, 497,010.30 and 82,022.20

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Solution

The fourth proportional to 331,340.20, 497,010.30 and 82,022.20 is: 123,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,340.20 : 497,010.30 = 82,022.20 : x
  2. Step 2: Convert to fraction form
    331,340.20/497,010.30 = 82,022.20/x
  3. Step 3: Cross multiply
    331,340.20x = 497,010.30 × 82,022.20
  4. Step 4: Simplify right side
    331,340.20x = 40,765,878,228.66
  5. Step 5: Solve for x
    x = 40,765,878,228.66/331,340.20
  6. Step 6: Final answer
    x = 123,033.30

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