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Finding the Fourth Proportional to 414,791.38, 622,519.26 and 190,257.58

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Solution

The fourth proportional to 414,791.38, 622,519.26 and 190,257.58 is: 285,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,791.38 : 622,519.26 = 190,257.58 : x
  2. Step 2: Convert to fraction form
    414,791.38/622,519.26 = 190,257.58/x
  3. Step 3: Cross multiply
    414,791.38x = 622,519.26 × 190,257.58
  4. Step 4: Simplify right side
    414,791.38x = 118,439,007,910.99
  5. Step 5: Solve for x
    x = 118,439,007,910.99/414,791.38
  6. Step 6: Final answer
    x = 285,538.74

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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.