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Finding the Fourth Proportional to 300,091.62, 414,164.10 and 196,812.57

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Solution

The fourth proportional to 300,091.62, 414,164.10 and 196,812.57 is: 271,626.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,091.62 : 414,164.10 = 196,812.57 : x
  2. Step 2: Convert to fraction form
    300,091.62/414,164.10 = 196,812.57/x
  3. Step 3: Cross multiply
    300,091.62x = 414,164.10 × 196,812.57
  4. Step 4: Simplify right side
    300,091.62x = 81,512,700,922.74
  5. Step 5: Solve for x
    x = 81,512,700,922.74/300,091.62
  6. Step 6: Final answer
    x = 271,626.05

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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.