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Finding the Fourth Proportional to 294,571.20, 441,856.80 and 161,860.80

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Solution

The fourth proportional to 294,571.20, 441,856.80 and 161,860.80 is: 242,791.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,571.20 : 441,856.80 = 161,860.80 : x
  2. Step 2: Convert to fraction form
    294,571.20/441,856.80 = 161,860.80/x
  3. Step 3: Cross multiply
    294,571.20x = 441,856.80 × 161,860.80
  4. Step 4: Simplify right side
    294,571.20x = 71,519,295,133.44
  5. Step 5: Solve for x
    x = 71,519,295,133.44/294,571.20
  6. Step 6: Final answer
    x = 242,791.20

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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.