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Finding the Fourth Proportional to 422,896.23, 583,610.31 and 231,909.17

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Solution

The fourth proportional to 422,896.23, 583,610.31 and 231,909.17 is: 320,042.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,896.23 : 583,610.31 = 231,909.17 : x
  2. Step 2: Convert to fraction form
    422,896.23/583,610.31 = 231,909.17/x
  3. Step 3: Cross multiply
    422,896.23x = 583,610.31 × 231,909.17
  4. Step 4: Simplify right side
    422,896.23x = 135,344,579,677.49
  5. Step 5: Solve for x
    x = 135,344,579,677.49/422,896.23
  6. Step 6: Final answer
    x = 320,042.06

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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.