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Finding the Fourth Proportional to 726,393.12, 1,089,589.68 and 227,796

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Solution

The fourth proportional to 726,393.12, 1,089,589.68 and 227,796 is: 341,694

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,393.12 : 1,089,589.68 = 227,796 : x
  2. Step 2: Convert to fraction form
    726,393.12/1,089,589.68 = 227,796/x
  3. Step 3: Cross multiply
    726,393.12x = 1,089,589.68 × 227,796
  4. Step 4: Simplify right side
    726,393.12x = 248,204,170,745.28
  5. Step 5: Solve for x
    x = 248,204,170,745.28/726,393.12
  6. Step 6: Final answer
    x = 341,694

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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.