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Finding the Fourth Proportional to 300,041.28, 449,871.84 and 150,240.96

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Solution

The fourth proportional to 300,041.28, 449,871.84 and 150,240.96 is: 225,266.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,041.28 : 449,871.84 = 150,240.96 : x
  2. Step 2: Convert to fraction form
    300,041.28/449,871.84 = 150,240.96/x
  3. Step 3: Cross multiply
    300,041.28x = 449,871.84 × 150,240.96
  4. Step 4: Simplify right side
    300,041.28x = 67,589,177,118.57
  5. Step 5: Solve for x
    x = 67,589,177,118.57/300,041.28
  6. Step 6: Final answer
    x = 225,266.26

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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.