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Finding the Fourth Proportional to 300,606, 414,836.40 and 166,470

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Solution

The fourth proportional to 300,606, 414,836.40 and 166,470 is: 229,728.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,606 : 414,836.40 = 166,470 : x
  2. Step 2: Convert to fraction form
    300,606/414,836.40 = 166,470/x
  3. Step 3: Cross multiply
    300,606x = 414,836.40 × 166,470
  4. Step 4: Simplify right side
    300,606x = 69,057,815,508
  5. Step 5: Solve for x
    x = 69,057,815,508/300,606
  6. Step 6: Final answer
    x = 229,728.67

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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.