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Finding the Fourth Proportional to 542,706.16, 814,183.24 and 187,719.88

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Solution

The fourth proportional to 542,706.16, 814,183.24 and 187,719.88 is: 281,622.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,706.16 : 814,183.24 = 187,719.88 : x
  2. Step 2: Convert to fraction form
    542,706.16/814,183.24 = 187,719.88/x
  3. Step 3: Cross multiply
    542,706.16x = 814,183.24 × 187,719.88
  4. Step 4: Simplify right side
    542,706.16x = 152,838,380,110.81
  5. Step 5: Solve for x
    x = 152,838,380,110.81/542,706.16
  6. Step 6: Final answer
    x = 281,622.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.