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Finding the Fourth Proportional to 331,807.17, 497,712.51 and 82,489.17

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Solution

The fourth proportional to 331,807.17, 497,712.51 and 82,489.17 is: 123,734.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,807.17 : 497,712.51 = 82,489.17 : x
  2. Step 2: Convert to fraction form
    331,807.17/497,712.51 = 82,489.17/x
  3. Step 3: Cross multiply
    331,807.17x = 497,712.51 × 82,489.17
  4. Step 4: Simplify right side
    331,807.17x = 41,055,891,848.52
  5. Step 5: Solve for x
    x = 41,055,891,848.52/331,807.17
  6. Step 6: Final answer
    x = 123,734.19

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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.