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Finding the Fourth Proportional to 276,907.15, 416,227.75 and 182,742.44

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Solution

The fourth proportional to 276,907.15, 416,227.75 and 182,742.44 is: 274,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,907.15 : 416,227.75 = 182,742.44 : x
  2. Step 2: Convert to fraction form
    276,907.15/416,227.75 = 182,742.44/x
  3. Step 3: Cross multiply
    276,907.15x = 416,227.75 × 182,742.44
  4. Step 4: Simplify right side
    276,907.15x = 76,062,474,434.00
  5. Step 5: Solve for x
    x = 76,062,474,434.00/276,907.15
  6. Step 6: Final answer
    x = 274,685.85

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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.