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Finding the Fourth Proportional to 422,913.96, 583,638.12 and 231,934.32

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Solution

The fourth proportional to 422,913.96, 583,638.12 and 231,934.32 is: 320,078.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,913.96 : 583,638.12 = 231,934.32 : x
  2. Step 2: Convert to fraction form
    422,913.96/583,638.12 = 231,934.32/x
  3. Step 3: Cross multiply
    422,913.96x = 583,638.12 × 231,934.32
  4. Step 4: Simplify right side
    422,913.96x = 135,365,710,488.28
  5. Step 5: Solve for x
    x = 135,365,710,488.28/422,913.96
  6. Step 6: Final answer
    x = 320,078.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.