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Finding the Fourth Proportional to 274,393.92, 411,549.26 and 74,730.03

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Solution

The fourth proportional to 274,393.92, 411,549.26 and 74,730.03 is: 112,083.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,393.92 : 411,549.26 = 74,730.03 : x
  2. Step 2: Convert to fraction form
    274,393.92/411,549.26 = 74,730.03/x
  3. Step 3: Cross multiply
    274,393.92x = 411,549.26 × 74,730.03
  4. Step 4: Simplify right side
    274,393.92x = 30,755,088,546.28
  5. Step 5: Solve for x
    x = 30,755,088,546.28/274,393.92
  6. Step 6: Final answer
    x = 112,083.71

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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.