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Finding the Fourth Proportional to 383,947.72, 575,380.38 and 181,327.72

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Solution

The fourth proportional to 383,947.72, 575,380.38 and 181,327.72 is: 271,735.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,947.72 : 575,380.38 = 181,327.72 : x
  2. Step 2: Convert to fraction form
    383,947.72/575,380.38 = 181,327.72/x
  3. Step 3: Cross multiply
    383,947.72x = 575,380.38 × 181,327.72
  4. Step 4: Simplify right side
    383,947.72x = 104,332,412,438.13
  5. Step 5: Solve for x
    x = 104,332,412,438.13/383,947.72
  6. Step 6: Final answer
    x = 271,735.99

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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.