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Finding the Fourth Proportional to 300,324.56, 414,267.70 and 198,350.22

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Solution

The fourth proportional to 300,324.56, 414,267.70 and 198,350.22 is: 273,604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,324.56 : 414,267.70 = 198,350.22 : x
  2. Step 2: Convert to fraction form
    300,324.56/414,267.70 = 198,350.22/x
  3. Step 3: Cross multiply
    300,324.56x = 414,267.70 × 198,350.22
  4. Step 4: Simplify right side
    300,324.56x = 82,170,089,433.89
  5. Step 5: Solve for x
    x = 82,170,089,433.89/300,324.56
  6. Step 6: Final answer
    x = 273,604.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.