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Finding the Fourth Proportional to 542,896.58, 814,213.65 and 227,589.50

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Solution

The fourth proportional to 542,896.58, 814,213.65 and 227,589.50 is: 341,329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,896.58 : 814,213.65 = 227,589.50 : x
  2. Step 2: Convert to fraction form
    542,896.58/814,213.65 = 227,589.50/x
  3. Step 3: Cross multiply
    542,896.58x = 814,213.65 × 227,589.50
  4. Step 4: Simplify right side
    542,896.58x = 185,306,477,496.68
  5. Step 5: Solve for x
    x = 185,306,477,496.68/542,896.58
  6. Step 6: Final answer
    x = 341,329.24

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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.