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Finding the Fourth Proportional to 331,352.13, 497,028.20 and 82,034.13

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Solution

The fourth proportional to 331,352.13, 497,028.20 and 82,034.13 is: 123,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,352.13 : 497,028.20 = 82,034.13 : x
  2. Step 2: Convert to fraction form
    331,352.13/497,028.20 = 82,034.13/x
  3. Step 3: Cross multiply
    331,352.13x = 497,028.20 × 82,034.13
  4. Step 4: Simplify right side
    331,352.13x = 40,773,275,972.47
  5. Step 5: Solve for x
    x = 40,773,275,972.47/331,352.13
  6. Step 6: Final answer
    x = 123,051.20

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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.