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Finding the Fourth Proportional to 542,623.80, 814,227.30 and 227,112.60

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Solution

The fourth proportional to 542,623.80, 814,227.30 and 227,112.60 is: 340,790.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,623.80 : 814,227.30 = 227,112.60 : x
  2. Step 2: Convert to fraction form
    542,623.80/814,227.30 = 227,112.60/x
  3. Step 3: Cross multiply
    542,623.80x = 814,227.30 × 227,112.60
  4. Step 4: Simplify right side
    542,623.80x = 184,921,279,093.98
  5. Step 5: Solve for x
    x = 184,921,279,093.98/542,623.80
  6. Step 6: Final answer
    x = 340,790.95

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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.