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Finding the Fourth Proportional to 297,064.75, 409,949.56 and 161,098.66

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Solution

The fourth proportional to 297,064.75, 409,949.56 and 161,098.66 is: 222,316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,064.75 : 409,949.56 = 161,098.66 : x
  2. Step 2: Convert to fraction form
    297,064.75/409,949.56 = 161,098.66/x
  3. Step 3: Cross multiply
    297,064.75x = 409,949.56 × 161,098.66
  4. Step 4: Simplify right side
    297,064.75x = 66,042,322,285.25
  5. Step 5: Solve for x
    x = 66,042,322,285.25/297,064.75
  6. Step 6: Final answer
    x = 222,316.25

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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.