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Finding the Fourth Proportional to 331,346.76, 497,020.13 and 82,028.76

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Solution

The fourth proportional to 331,346.76, 497,020.13 and 82,028.76 is: 123,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,346.76 : 497,020.13 = 82,028.76 : x
  2. Step 2: Convert to fraction form
    331,346.76/497,020.13 = 82,028.76/x
  3. Step 3: Cross multiply
    331,346.76x = 497,020.13 × 82,028.76
  4. Step 4: Simplify right side
    331,346.76x = 40,769,944,958.94
  5. Step 5: Solve for x
    x = 40,769,944,958.94/331,346.76
  6. Step 6: Final answer
    x = 123,043.14

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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.