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Finding the Fourth Proportional to 414,790.38, 622,517.76 and 190,256.58

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Solution

The fourth proportional to 414,790.38, 622,517.76 and 190,256.58 is: 285,537.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,790.38 : 622,517.76 = 190,256.58 : x
  2. Step 2: Convert to fraction form
    414,790.38/622,517.76 = 190,256.58/x
  3. Step 3: Cross multiply
    414,790.38x = 622,517.76 × 190,256.58
  4. Step 4: Simplify right side
    414,790.38x = 118,438,100,006.86
  5. Step 5: Solve for x
    x = 118,438,100,006.86/414,790.38
  6. Step 6: Final answer
    x = 285,537.24

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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.