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Finding the Fourth Proportional to 276,883.44, 415,195.16 and 164,578.56

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Solution

The fourth proportional to 276,883.44, 415,195.16 and 164,578.56 is: 246,790.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,883.44 : 415,195.16 = 164,578.56 : x
  2. Step 2: Convert to fraction form
    276,883.44/415,195.16 = 164,578.56/x
  3. Step 3: Cross multiply
    276,883.44x = 415,195.16 × 164,578.56
  4. Step 4: Simplify right side
    276,883.44x = 68,332,220,728.88
  5. Step 5: Solve for x
    x = 68,332,220,728.88/276,883.44
  6. Step 6: Final answer
    x = 246,790.57

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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.