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Finding the Fourth Proportional to 422,723.93, 583,381.37 and 231,745.37

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Solution

The fourth proportional to 422,723.93, 583,381.37 and 231,745.37 is: 319,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,723.93 : 583,381.37 = 231,745.37 : x
  2. Step 2: Convert to fraction form
    422,723.93/583,381.37 = 231,745.37/x
  3. Step 3: Cross multiply
    422,723.93x = 583,381.37 × 231,745.37
  4. Step 4: Simplify right side
    422,723.93x = 135,195,929,104.21
  5. Step 5: Solve for x
    x = 135,195,929,104.21/422,723.93
  6. Step 6: Final answer
    x = 319,820.86

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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.