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Finding the Fourth Proportional to 297,695.30, 410,817.86 and 161,728.16

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Solution

The fourth proportional to 297,695.30, 410,817.86 and 161,728.16 is: 223,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,695.30 : 410,817.86 = 161,728.16 : x
  2. Step 2: Convert to fraction form
    297,695.30/410,817.86 = 161,728.16/x
  3. Step 3: Cross multiply
    297,695.30x = 410,817.86 × 161,728.16
  4. Step 4: Simplify right side
    297,695.30x = 66,440,816,592.94
  5. Step 5: Solve for x
    x = 66,440,816,592.94/297,695.30
  6. Step 6: Final answer
    x = 223,183.96

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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.