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Finding the Fourth Proportional to 766,950, 1,150,593.75 and 227,164.38

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Solution

The fourth proportional to 766,950, 1,150,593.75 and 227,164.38 is: 340,796.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,950 : 1,150,593.75 = 227,164.38 : x
  2. Step 2: Convert to fraction form
    766,950/1,150,593.75 = 227,164.38/x
  3. Step 3: Cross multiply
    766,950x = 1,150,593.75 × 227,164.38
  4. Step 4: Simplify right side
    766,950x = 261,373,915,850.63
  5. Step 5: Solve for x
    x = 261,373,915,850.63/766,950
  6. Step 6: Final answer
    x = 340,796.55

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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.