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Finding the Fourth Proportional to 422,986.28, 583,717.05 and 232,000.43

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Solution

The fourth proportional to 422,986.28, 583,717.05 and 232,000.43 is: 320,158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,986.28 : 583,717.05 = 232,000.43 : x
  2. Step 2: Convert to fraction form
    422,986.28/583,717.05 = 232,000.43/x
  3. Step 3: Cross multiply
    422,986.28x = 583,717.05 × 232,000.43
  4. Step 4: Simplify right side
    422,986.28x = 135,422,603,679.75
  5. Step 5: Solve for x
    x = 135,422,603,679.75/422,986.28
  6. Step 6: Final answer
    x = 320,158.39

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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.