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Finding the Fourth Proportional to 285,311.97, 393,725.73 and 157,984.83

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Solution

The fourth proportional to 285,311.97, 393,725.73 and 157,984.83 is: 218,016.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,311.97 : 393,725.73 = 157,984.83 : x
  2. Step 2: Convert to fraction form
    285,311.97/393,725.73 = 157,984.83/x
  3. Step 3: Cross multiply
    285,311.97x = 393,725.73 × 157,984.83
  4. Step 4: Simplify right side
    285,311.97x = 62,202,692,520.68
  5. Step 5: Solve for x
    x = 62,202,692,520.68/285,311.97
  6. Step 6: Final answer
    x = 218,016.41

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1.5x scale

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.