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Finding the Fourth Proportional to 274,003.20, 410,724 and 174,237.12

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Solution

The fourth proportional to 274,003.20, 410,724 and 174,237.12 is: 261,177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,003.20 : 410,724 = 174,237.12 : x
  2. Step 2: Convert to fraction form
    274,003.20/410,724 = 174,237.12/x
  3. Step 3: Cross multiply
    274,003.20x = 410,724 × 174,237.12
  4. Step 4: Simplify right side
    274,003.20x = 71,563,366,874.88
  5. Step 5: Solve for x
    x = 71,563,366,874.88/274,003.20
  6. Step 6: Final answer
    x = 261,177.12

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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.