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Finding the Fourth Proportional to 542,866.46, 814,168.46 and 227,559.38

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Solution

The fourth proportional to 542,866.46, 814,168.46 and 227,559.38 is: 341,284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,866.46 : 814,168.46 = 227,559.38 : x
  2. Step 2: Convert to fraction form
    542,866.46/814,168.46 = 227,559.38/x
  3. Step 3: Cross multiply
    542,866.46x = 814,168.46 × 227,559.38
  4. Step 4: Simplify right side
    542,866.46x = 185,271,666,471.21
  5. Step 5: Solve for x
    x = 185,271,666,471.21/542,866.46
  6. Step 6: Final answer
    x = 341,284.06

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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.