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Finding the Fourth Proportional to 313,227.92, 432,257.72 and 169,989.20

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Solution

The fourth proportional to 313,227.92, 432,257.72 and 169,989.20 is: 234,586.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,227.92 : 432,257.72 = 169,989.20 : x
  2. Step 2: Convert to fraction form
    313,227.92/432,257.72 = 169,989.20/x
  3. Step 3: Cross multiply
    313,227.92x = 432,257.72 × 169,989.20
  4. Step 4: Simplify right side
    313,227.92x = 73,479,144,016.62
  5. Step 5: Solve for x
    x = 73,479,144,016.62/313,227.92
  6. Step 6: Final answer
    x = 234,586.83

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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.