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Finding the Fourth Proportional to 300,318, 414,451.80 and 166,182

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Solution

The fourth proportional to 300,318, 414,451.80 and 166,182 is: 229,338.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,318 : 414,451.80 = 166,182 : x
  2. Step 2: Convert to fraction form
    300,318/414,451.80 = 166,182/x
  3. Step 3: Cross multiply
    300,318x = 414,451.80 × 166,182
  4. Step 4: Simplify right side
    300,318x = 68,874,429,027.60
  5. Step 5: Solve for x
    x = 68,874,429,027.60/300,318
  6. Step 6: Final answer
    x = 229,338.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.