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Finding the Fourth Proportional to 381,954.25, 527,145.47 and 231,052.33

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Solution

The fourth proportional to 381,954.25, 527,145.47 and 231,052.33 is: 318,881.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,954.25 : 527,145.47 = 231,052.33 : x
  2. Step 2: Convert to fraction form
    381,954.25/527,145.47 = 231,052.33/x
  3. Step 3: Cross multiply
    381,954.25x = 527,145.47 × 231,052.33
  4. Step 4: Simplify right side
    381,954.25x = 121,798,189,092.45
  5. Step 5: Solve for x
    x = 121,798,189,092.45/381,954.25
  6. Step 6: Final answer
    x = 318,881.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.