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Finding the Fourth Proportional to 270,327.81, 405,226.89 and 150,441.96

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Solution

The fourth proportional to 270,327.81, 405,226.89 and 150,441.96 is: 225,515.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,327.81 : 405,226.89 = 150,441.96 : x
  2. Step 2: Convert to fraction form
    270,327.81/405,226.89 = 150,441.96/x
  3. Step 3: Cross multiply
    270,327.81x = 405,226.89 × 150,441.96
  4. Step 4: Simplify right side
    270,327.81x = 60,963,127,576.30
  5. Step 5: Solve for x
    x = 60,963,127,576.30/270,327.81
  6. Step 6: Final answer
    x = 225,515.56

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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.