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Finding the Fourth Proportional to 256,548.42, 354,149.22 and 196,121.58

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Solution

The fourth proportional to 256,548.42, 354,149.22 and 196,121.58 is: 270,733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,548.42 : 354,149.22 = 196,121.58 : x
  2. Step 2: Convert to fraction form
    256,548.42/354,149.22 = 196,121.58/x
  3. Step 3: Cross multiply
    256,548.42x = 354,149.22 × 196,121.58
  4. Step 4: Simplify right side
    256,548.42x = 69,456,304,582.17
  5. Step 5: Solve for x
    x = 69,456,304,582.17/256,548.42
  6. Step 6: Final answer
    x = 270,733.71

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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.