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Finding the Fourth Proportional to 300,589.82, 450,892.92 and 90,227.78

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Solution

The fourth proportional to 300,589.82, 450,892.92 and 90,227.78 is: 135,344.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,589.82 : 450,892.92 = 90,227.78 : x
  2. Step 2: Convert to fraction form
    300,589.82/450,892.92 = 90,227.78/x
  3. Step 3: Cross multiply
    300,589.82x = 450,892.92 × 90,227.78
  4. Step 4: Simplify right side
    300,589.82x = 40,683,067,189.32
  5. Step 5: Solve for x
    x = 40,683,067,189.32/300,589.82
  6. Step 6: Final answer
    x = 135,344.13

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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.