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Finding the Fourth Proportional to 300,297.64, 414,404.90 and 166,161.64

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Solution

The fourth proportional to 300,297.64, 414,404.90 and 166,161.64 is: 229,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,297.64 : 414,404.90 = 166,161.64 : x
  2. Step 2: Convert to fraction form
    300,297.64/414,404.90 = 166,161.64/x
  3. Step 3: Cross multiply
    300,297.64x = 414,404.90 × 166,161.64
  4. Step 4: Simplify right side
    300,297.64x = 68,858,197,808.04
  5. Step 5: Solve for x
    x = 68,858,197,808.04/300,297.64
  6. Step 6: Final answer
    x = 229,299.83

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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.