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Finding the Fourth Proportional to 276,920.16, 416,247.28 and 182,755.44

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Solution

The fourth proportional to 276,920.16, 416,247.28 and 182,755.44 is: 274,705.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,920.16 : 416,247.28 = 182,755.44 : x
  2. Step 2: Convert to fraction form
    276,920.16/416,247.28 = 182,755.44/x
  3. Step 3: Cross multiply
    276,920.16x = 416,247.28 × 182,755.44
  4. Step 4: Simplify right side
    276,920.16x = 76,071,454,805.20
  5. Step 5: Solve for x
    x = 76,071,454,805.20/276,920.16
  6. Step 6: Final answer
    x = 274,705.37

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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.