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Finding the Fourth Proportional to 422,961.96, 583,724.44 and 232,012.24

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Solution

The fourth proportional to 422,961.96, 583,724.44 and 232,012.24 is: 320,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,961.96 : 583,724.44 = 232,012.24 : x
  2. Step 2: Convert to fraction form
    422,961.96/583,724.44 = 232,012.24/x
  3. Step 3: Cross multiply
    422,961.96x = 583,724.44 × 232,012.24
  4. Step 4: Simplify right side
    422,961.96x = 135,431,214,867.15
  5. Step 5: Solve for x
    x = 135,431,214,867.15/422,961.96
  6. Step 6: Final answer
    x = 320,197.15

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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.