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Finding the Fourth Proportional to 542,969.30, 814,745.55 and 227,458.10

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Solution

The fourth proportional to 542,969.30, 814,745.55 and 227,458.10 is: 341,309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,969.30 : 814,745.55 = 227,458.10 : x
  2. Step 2: Convert to fraction form
    542,969.30/814,745.55 = 227,458.10/x
  3. Step 3: Cross multiply
    542,969.30x = 814,745.55 × 227,458.10
  4. Step 4: Simplify right side
    542,969.30x = 185,320,474,786.46
  5. Step 5: Solve for x
    x = 185,320,474,786.46/542,969.30
  6. Step 6: Final answer
    x = 341,309.31

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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.