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Finding the Fourth Proportional to 422,652.44, 583,270.50 and 231,676.31

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Solution

The fourth proportional to 422,652.44, 583,270.50 and 231,676.31 is: 319,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,652.44 : 583,270.50 = 231,676.31 : x
  2. Step 2: Convert to fraction form
    422,652.44/583,270.50 = 231,676.31/x
  3. Step 3: Cross multiply
    422,652.44x = 583,270.50 × 231,676.31
  4. Step 4: Simplify right side
    422,652.44x = 135,129,959,498.82
  5. Step 5: Solve for x
    x = 135,129,959,498.82/422,652.44
  6. Step 6: Final answer
    x = 319,718.87

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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.