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Finding the Fourth Proportional to 275,805.20, 414,096.60 and 170,829.20

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Solution

The fourth proportional to 275,805.20, 414,096.60 and 170,829.20 is: 256,484.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,805.20 : 414,096.60 = 170,829.20 : x
  2. Step 2: Convert to fraction form
    275,805.20/414,096.60 = 170,829.20/x
  3. Step 3: Cross multiply
    275,805.20x = 414,096.60 × 170,829.20
  4. Step 4: Simplify right side
    275,805.20x = 70,739,790,900.72
  5. Step 5: Solve for x
    x = 70,739,790,900.72/275,805.20
  6. Step 6: Final answer
    x = 256,484.62

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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.