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Finding the Fourth Proportional to 294,471.20, 441,706.80 and 161,760.80

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Solution

The fourth proportional to 294,471.20, 441,706.80 and 161,760.80 is: 242,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,471.20 : 441,706.80 = 161,760.80 : x
  2. Step 2: Convert to fraction form
    294,471.20/441,706.80 = 161,760.80/x
  3. Step 3: Cross multiply
    294,471.20x = 441,706.80 × 161,760.80
  4. Step 4: Simplify right side
    294,471.20x = 71,450,845,333.44
  5. Step 5: Solve for x
    x = 71,450,845,333.44/294,471.20
  6. Step 6: Final answer
    x = 242,641.20

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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.