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Finding the Fourth Proportional to 331,807.09, 497,712.45 and 82,489.09

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Solution

The fourth proportional to 331,807.09, 497,712.45 and 82,489.09 is: 123,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,807.09 : 497,712.45 = 82,489.09 : x
  2. Step 2: Convert to fraction form
    331,807.09/497,712.45 = 82,489.09/x
  3. Step 3: Cross multiply
    331,807.09x = 497,712.45 × 82,489.09
  4. Step 4: Simplify right side
    331,807.09x = 41,055,844,593.61
  5. Step 5: Solve for x
    x = 41,055,844,593.61/331,807.09
  6. Step 6: Final answer
    x = 123,734.08

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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.