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Finding the Fourth Proportional to 299,227.96, 412,923.18 and 165,091.96

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Solution

The fourth proportional to 299,227.96, 412,923.18 and 165,091.96 is: 227,820.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,227.96 : 412,923.18 = 165,091.96 : x
  2. Step 2: Convert to fraction form
    299,227.96/412,923.18 = 165,091.96/x
  3. Step 3: Cross multiply
    299,227.96x = 412,923.18 × 165,091.96
  4. Step 4: Simplify right side
    299,227.96x = 68,170,297,115.63
  5. Step 5: Solve for x
    x = 68,170,297,115.63/299,227.96
  6. Step 6: Final answer
    x = 227,820.61

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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.