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Finding the Fourth Proportional to 542,789.08, 814,185.70 and 227,024.48

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Solution

The fourth proportional to 542,789.08, 814,185.70 and 227,024.48 is: 340,537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,789.08 : 814,185.70 = 227,024.48 : x
  2. Step 2: Convert to fraction form
    542,789.08/814,185.70 = 227,024.48/x
  3. Step 3: Cross multiply
    542,789.08x = 814,185.70 × 227,024.48
  4. Step 4: Simplify right side
    542,789.08x = 184,840,085,165.94
  5. Step 5: Solve for x
    x = 184,840,085,165.94/542,789.08
  6. Step 6: Final answer
    x = 340,537.59

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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.