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Finding the Fourth Proportional to 285,512.80, 394,200.12 and 255,200.98

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Solution

The fourth proportional to 285,512.80, 394,200.12 and 255,200.98 is: 352,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,512.80 : 394,200.12 = 255,200.98 : x
  2. Step 2: Convert to fraction form
    285,512.80/394,200.12 = 255,200.98/x
  3. Step 3: Cross multiply
    285,512.80x = 394,200.12 × 255,200.98
  4. Step 4: Simplify right side
    285,512.80x = 100,600,256,940.12
  5. Step 5: Solve for x
    x = 100,600,256,940.12/285,512.80
  6. Step 6: Final answer
    x = 352,349.38

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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.