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Finding the Fourth Proportional to 682,807.60, 1,024,211.40 and 327,638.80

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Solution

The fourth proportional to 682,807.60, 1,024,211.40 and 327,638.80 is: 491,458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,807.60 : 1,024,211.40 = 327,638.80 : x
  2. Step 2: Convert to fraction form
    682,807.60/1,024,211.40 = 327,638.80/x
  3. Step 3: Cross multiply
    682,807.60x = 1,024,211.40 × 327,638.80
  4. Step 4: Simplify right side
    682,807.60x = 335,571,394,042.32
  5. Step 5: Solve for x
    x = 335,571,394,042.32/682,807.60
  6. Step 6: Final answer
    x = 491,458.20

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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.