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Finding the Fourth Proportional to 422,749.11, 583,416.13 and 231,770.55

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Solution

The fourth proportional to 422,749.11, 583,416.13 and 231,770.55 is: 319,855.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,749.11 : 583,416.13 = 231,770.55 : x
  2. Step 2: Convert to fraction form
    422,749.11/583,416.13 = 231,770.55/x
  3. Step 3: Cross multiply
    422,749.11x = 583,416.13 × 231,770.55
  4. Step 4: Simplify right side
    422,749.11x = 135,218,677,328.97
  5. Step 5: Solve for x
    x = 135,218,677,328.97/422,749.11
  6. Step 6: Final answer
    x = 319,855.62

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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.