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Finding the Fourth Proportional to 387,882.68, 534,974.42 and 265,447.56

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Solution

The fourth proportional to 387,882.68, 534,974.42 and 265,447.56 is: 366,109.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,882.68 : 534,974.42 = 265,447.56 : x
  2. Step 2: Convert to fraction form
    387,882.68/534,974.42 = 265,447.56/x
  3. Step 3: Cross multiply
    387,882.68x = 534,974.42 × 265,447.56
  4. Step 4: Simplify right side
    387,882.68x = 142,007,654,451.42
  5. Step 5: Solve for x
    x = 142,007,654,451.42/387,882.68
  6. Step 6: Final answer
    x = 366,109.81

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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.