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Finding the Fourth Proportional to 297,647.91, 410,760.99 and 161,687.25

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Solution

The fourth proportional to 297,647.91, 410,760.99 and 161,687.25 is: 223,132.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,647.91 : 410,760.99 = 161,687.25 : x
  2. Step 2: Convert to fraction form
    297,647.91/410,760.99 = 161,687.25/x
  3. Step 3: Cross multiply
    297,647.91x = 410,760.99 × 161,687.25
  4. Step 4: Simplify right side
    297,647.91x = 66,414,814,880.38
  5. Step 5: Solve for x
    x = 66,414,814,880.38/297,647.91
  6. Step 6: Final answer
    x = 223,132.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.