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Finding the Fourth Proportional to 275,701.20, 413,940.60 and 170,725.20

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Solution

The fourth proportional to 275,701.20, 413,940.60 and 170,725.20 is: 256,328.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,701.20 : 413,940.60 = 170,725.20 : x
  2. Step 2: Convert to fraction form
    275,701.20/413,940.60 = 170,725.20/x
  3. Step 3: Cross multiply
    275,701.20x = 413,940.60 × 170,725.20
  4. Step 4: Simplify right side
    275,701.20x = 70,670,091,723.12
  5. Step 5: Solve for x
    x = 70,670,091,723.12/275,701.20
  6. Step 6: Final answer
    x = 256,328.56

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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.