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Finding the Fourth Proportional to 306,205.31, 422,577.41 and 170,253.09

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Solution

The fourth proportional to 306,205.31, 422,577.41 and 170,253.09 is: 234,957.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,205.31 : 422,577.41 = 170,253.09 : x
  2. Step 2: Convert to fraction form
    306,205.31/422,577.41 = 170,253.09/x
  3. Step 3: Cross multiply
    306,205.31x = 422,577.41 × 170,253.09
  4. Step 4: Simplify right side
    306,205.31x = 71,945,108,965.43
  5. Step 5: Solve for x
    x = 71,945,108,965.43/306,205.31
  6. Step 6: Final answer
    x = 234,957.09

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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.