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Finding the Fourth Proportional to 416,719.38, 574,956.07 and 261,687.39

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Solution

The fourth proportional to 416,719.38, 574,956.07 and 261,687.39 is: 361,055.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,719.38 : 574,956.07 = 261,687.39 : x
  2. Step 2: Convert to fraction form
    416,719.38/574,956.07 = 261,687.39/x
  3. Step 3: Cross multiply
    416,719.38x = 574,956.07 × 261,687.39
  4. Step 4: Simplify right side
    416,719.38x = 150,458,753,322.96
  5. Step 5: Solve for x
    x = 150,458,753,322.96/416,719.38
  6. Step 6: Final answer
    x = 361,055.33

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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.