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Finding the Fourth Proportional to 331,346.07, 497,019.10 and 82,028.07

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Solution

The fourth proportional to 331,346.07, 497,019.10 and 82,028.07 is: 123,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,346.07 : 497,019.10 = 82,028.07 : x
  2. Step 2: Convert to fraction form
    331,346.07/497,019.10 = 82,028.07/x
  3. Step 3: Cross multiply
    331,346.07x = 497,019.10 × 82,028.07
  4. Step 4: Simplify right side
    331,346.07x = 40,769,517,526.14
  5. Step 5: Solve for x
    x = 40,769,517,526.14/331,346.07
  6. Step 6: Final answer
    x = 123,042.10

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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.