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Finding the Fourth Proportional to 276,772.68, 415,290.24 and 164,674.44

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Solution

The fourth proportional to 276,772.68, 415,290.24 and 164,674.44 is: 247,089.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,772.68 : 415,290.24 = 164,674.44 : x
  2. Step 2: Convert to fraction form
    276,772.68/415,290.24 = 164,674.44/x
  3. Step 3: Cross multiply
    276,772.68x = 415,290.24 × 164,674.44
  4. Step 4: Simplify right side
    276,772.68x = 68,387,687,709.47
  5. Step 5: Solve for x
    x = 68,387,687,709.47/276,772.68
  6. Step 6: Final answer
    x = 247,089.73

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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.