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Finding the Fourth Proportional to 422,745.36, 583,381.88 and 231,760.06

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Solution

The fourth proportional to 422,745.36, 583,381.88 and 231,760.06 is: 319,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,745.36 : 583,381.88 = 231,760.06 : x
  2. Step 2: Convert to fraction form
    422,745.36/583,381.88 = 231,760.06/x
  3. Step 3: Cross multiply
    422,745.36x = 583,381.88 × 231,760.06
  4. Step 4: Simplify right side
    422,745.36x = 135,204,619,511.71
  5. Step 5: Solve for x
    x = 135,204,619,511.71/422,745.36
  6. Step 6: Final answer
    x = 319,825.20

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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.