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Finding the Fourth Proportional to 256,517.75, 382,898.11 and 226,217.47

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Solution

The fourth proportional to 256,517.75, 382,898.11 and 226,217.47 is: 337,669.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,517.75 : 382,898.11 = 226,217.47 : x
  2. Step 2: Convert to fraction form
    256,517.75/382,898.11 = 226,217.47/x
  3. Step 3: Cross multiply
    256,517.75x = 382,898.11 × 226,217.47
  4. Step 4: Simplify right side
    256,517.75x = 86,618,241,711.98
  5. Step 5: Solve for x
    x = 86,618,241,711.98/256,517.75
  6. Step 6: Final answer
    x = 337,669.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.