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Finding the Fourth Proportional to 285,571.38, 394,078.59 and 158,258.82

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Solution

The fourth proportional to 285,571.38, 394,078.59 and 158,258.82 is: 218,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,571.38 : 394,078.59 = 158,258.82 : x
  2. Step 2: Convert to fraction form
    285,571.38/394,078.59 = 158,258.82/x
  3. Step 3: Cross multiply
    285,571.38x = 394,078.59 × 158,258.82
  4. Step 4: Simplify right side
    285,571.38x = 62,366,412,640.66
  5. Step 5: Solve for x
    x = 62,366,412,640.66/285,571.38
  6. Step 6: Final answer
    x = 218,391.68

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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.