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Finding the Fourth Proportional to 297,363.21, 410,361.66 and 161,397.20

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Solution

The fourth proportional to 297,363.21, 410,361.66 and 161,397.20 is: 222,728.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,363.21 : 410,361.66 = 161,397.20 : x
  2. Step 2: Convert to fraction form
    297,363.21/410,361.66 = 161,397.20/x
  3. Step 3: Cross multiply
    297,363.21x = 410,361.66 × 161,397.20
  4. Step 4: Simplify right side
    297,363.21x = 66,231,220,859.54
  5. Step 5: Solve for x
    x = 66,231,220,859.54/297,363.21
  6. Step 6: Final answer
    x = 222,728.36

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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.