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Finding the Fourth Proportional to 542,896.08, 814,212.90 and 227,589

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Solution

The fourth proportional to 542,896.08, 814,212.90 and 227,589 is: 341,328.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,896.08 : 814,212.90 = 227,589 : x
  2. Step 2: Convert to fraction form
    542,896.08/814,212.90 = 227,589/x
  3. Step 3: Cross multiply
    542,896.08x = 814,212.90 × 227,589
  4. Step 4: Simplify right side
    542,896.08x = 185,305,899,698.10
  5. Step 5: Solve for x
    x = 185,305,899,698.10/542,896.08
  6. Step 6: Final answer
    x = 341,328.49

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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.