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Finding the Fourth Proportional to 300,286.48, 414,389.88 and 166,150.48

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Solution

The fourth proportional to 300,286.48, 414,389.88 and 166,150.48 is: 229,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,286.48 : 414,389.88 = 166,150.48 : x
  2. Step 2: Convert to fraction form
    300,286.48/414,389.88 = 166,150.48/x
  3. Step 3: Cross multiply
    300,286.48x = 414,389.88 × 166,150.48
  4. Step 4: Simplify right side
    300,286.48x = 68,851,077,469.14
  5. Step 5: Solve for x
    x = 68,851,077,469.14/300,286.48
  6. Step 6: Final answer
    x = 229,284.64

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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.