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Finding the Fourth Proportional to 306,213.44, 422,588.62 and 170,261.34

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Solution

The fourth proportional to 306,213.44, 422,588.62 and 170,261.34 is: 234,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,213.44 : 422,588.62 = 170,261.34 : x
  2. Step 2: Convert to fraction form
    306,213.44/422,588.62 = 170,261.34/x
  3. Step 3: Cross multiply
    306,213.44x = 422,588.62 × 170,261.34
  4. Step 4: Simplify right side
    306,213.44x = 71,950,504,709.95
  5. Step 5: Solve for x
    x = 71,950,504,709.95/306,213.44
  6. Step 6: Final answer
    x = 234,968.47

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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.