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Finding the Fourth Proportional to 300,716.38, 414,988.60 and 166,580.38

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Solution

The fourth proportional to 300,716.38, 414,988.60 and 166,580.38 is: 229,880.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,716.38 : 414,988.60 = 166,580.38 : x
  2. Step 2: Convert to fraction form
    300,716.38/414,988.60 = 166,580.38/x
  3. Step 3: Cross multiply
    300,716.38x = 414,988.60 × 166,580.38
  4. Step 4: Simplify right side
    300,716.38x = 69,128,956,608.73
  5. Step 5: Solve for x
    x = 69,128,956,608.73/300,716.38
  6. Step 6: Final answer
    x = 229,880.92

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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.