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Finding the Fourth Proportional to 422,759.08, 583,407.38 and 231,768.38

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Solution

The fourth proportional to 422,759.08, 583,407.38 and 231,768.38 is: 319,840.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,759.08 : 583,407.38 = 231,768.38 : x
  2. Step 2: Convert to fraction form
    422,759.08/583,407.38 = 231,768.38/x
  3. Step 3: Cross multiply
    422,759.08x = 583,407.38 × 231,768.38
  4. Step 4: Simplify right side
    422,759.08x = 135,215,383,342.64
  5. Step 5: Solve for x
    x = 135,215,383,342.64/422,759.08
  6. Step 6: Final answer
    x = 319,840.28

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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.