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Finding the Fourth Proportional to 300,794, 415,109.32 and 166,658

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Solution

The fourth proportional to 300,794, 415,109.32 and 166,658 is: 229,995.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,794 : 415,109.32 = 166,658 : x
  2. Step 2: Convert to fraction form
    300,794/415,109.32 = 166,658/x
  3. Step 3: Cross multiply
    300,794x = 415,109.32 × 166,658
  4. Step 4: Simplify right side
    300,794x = 69,181,289,052.56
  5. Step 5: Solve for x
    x = 69,181,289,052.56/300,794
  6. Step 6: Final answer
    x = 229,995.58

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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.