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Finding the Fourth Proportional to 422,872.98, 583,536.21 and 231,882.30

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Solution

The fourth proportional to 422,872.98, 583,536.21 and 231,882.30 is: 319,981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,872.98 : 583,536.21 = 231,882.30 : x
  2. Step 2: Convert to fraction form
    422,872.98/583,536.21 = 231,882.30/x
  3. Step 3: Cross multiply
    422,872.98x = 583,536.21 × 231,882.30
  4. Step 4: Simplify right side
    422,872.98x = 135,311,718,508.08
  5. Step 5: Solve for x
    x = 135,311,718,508.08/422,872.98
  6. Step 6: Final answer
    x = 319,981.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.