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Finding the Fourth Proportional to 274,327.06, 411,449 and 74,663

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Solution

The fourth proportional to 274,327.06, 411,449 and 74,663 is: 111,983.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,327.06 : 411,449 = 74,663 : x
  2. Step 2: Convert to fraction form
    274,327.06/411,449 = 74,663/x
  3. Step 3: Cross multiply
    274,327.06x = 411,449 × 74,663
  4. Step 4: Simplify right side
    274,327.06x = 30,720,016,687
  5. Step 5: Solve for x
    x = 30,720,016,687/274,327.06
  6. Step 6: Final answer
    x = 111,983.18

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Why These Related Problems?

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