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Finding the Fourth Proportional to 285,867.60, 394,471.44 and 158,542.80

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Solution

The fourth proportional to 285,867.60, 394,471.44 and 158,542.80 is: 218,774.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,867.60 : 394,471.44 = 158,542.80 : x
  2. Step 2: Convert to fraction form
    285,867.60/394,471.44 = 158,542.80/x
  3. Step 3: Cross multiply
    285,867.60x = 394,471.44 × 158,542.80
  4. Step 4: Simplify right side
    285,867.60x = 62,540,606,617.63
  5. Step 5: Solve for x
    x = 62,540,606,617.63/285,867.60
  6. Step 6: Final answer
    x = 218,774.73

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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.