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Finding the Fourth Proportional to 297,136.71, 410,046.26 and 161,170.31

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Solution

The fourth proportional to 297,136.71, 410,046.26 and 161,170.31 is: 222,413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,136.71 : 410,046.26 = 161,170.31 : x
  2. Step 2: Convert to fraction form
    297,136.71/410,046.26 = 161,170.31/x
  3. Step 3: Cross multiply
    297,136.71x = 410,046.26 × 161,170.31
  4. Step 4: Simplify right side
    297,136.71x = 66,087,283,057.80
  5. Step 5: Solve for x
    x = 66,087,283,057.80/297,136.71
  6. Step 6: Final answer
    x = 222,413.73

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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.