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Finding the Fourth Proportional to 297,832.06, 411,006.72 and 161,863.84

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Solution

The fourth proportional to 297,832.06, 411,006.72 and 161,863.84 is: 223,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,832.06 : 411,006.72 = 161,863.84 : x
  2. Step 2: Convert to fraction form
    297,832.06/411,006.72 = 161,863.84/x
  3. Step 3: Cross multiply
    297,832.06x = 411,006.72 × 161,863.84
  4. Step 4: Simplify right side
    297,832.06x = 66,527,125,965.00
  5. Step 5: Solve for x
    x = 66,527,125,965.00/297,832.06
  6. Step 6: Final answer
    x = 223,371.27

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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.