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Finding the Fourth Proportional to 275,200.20, 413,189.10 and 170,224.20

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Solution

The fourth proportional to 275,200.20, 413,189.10 and 170,224.20 is: 255,576.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,200.20 : 413,189.10 = 170,224.20 : x
  2. Step 2: Convert to fraction form
    275,200.20/413,189.10 = 170,224.20/x
  3. Step 3: Cross multiply
    275,200.20x = 413,189.10 × 170,224.20
  4. Step 4: Simplify right side
    275,200.20x = 70,334,783,996.22
  5. Step 5: Solve for x
    x = 70,334,783,996.22/275,200.20
  6. Step 6: Final answer
    x = 255,576.79

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1.5x scale

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.