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Finding the Fourth Proportional to 297,022.06, 409,745.55 and 169,664.14

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Solution

The fourth proportional to 297,022.06, 409,745.55 and 169,664.14 is: 234,053.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,022.06 : 409,745.55 = 169,664.14 : x
  2. Step 2: Convert to fraction form
    297,022.06/409,745.55 = 169,664.14/x
  3. Step 3: Cross multiply
    297,022.06x = 409,745.55 × 169,664.14
  4. Step 4: Simplify right side
    297,022.06x = 69,519,126,359.58
  5. Step 5: Solve for x
    x = 69,519,126,359.58/297,022.06
  6. Step 6: Final answer
    x = 234,053.75

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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.