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Finding the Fourth Proportional to 415,513.60, 622,348.80 and 218,291.20

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Solution

The fourth proportional to 415,513.60, 622,348.80 and 218,291.20 is: 326,952.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,513.60 : 622,348.80 = 218,291.20 : x
  2. Step 2: Convert to fraction form
    415,513.60/622,348.80 = 218,291.20/x
  3. Step 3: Cross multiply
    415,513.60x = 622,348.80 × 218,291.20
  4. Step 4: Simplify right side
    415,513.60x = 135,853,266,370.56
  5. Step 5: Solve for x
    x = 135,853,266,370.56/415,513.60
  6. Step 6: Final answer
    x = 326,952.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.