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Finding the Fourth Proportional to 542,076.92, 813,244.56 and 187,094

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Solution

The fourth proportional to 542,076.92, 813,244.56 and 187,094 is: 280,685.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,076.92 : 813,244.56 = 187,094 : x
  2. Step 2: Convert to fraction form
    542,076.92/813,244.56 = 187,094/x
  3. Step 3: Cross multiply
    542,076.92x = 813,244.56 × 187,094
  4. Step 4: Simplify right side
    542,076.92x = 152,153,177,708.64
  5. Step 5: Solve for x
    x = 152,153,177,708.64/542,076.92
  6. Step 6: Final answer
    x = 280,685.59

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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.