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Finding the Fourth Proportional to 297,644.84, 410,757.29 and 161,678.75

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Solution

The fourth proportional to 297,644.84, 410,757.29 and 161,678.75 is: 223,120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,644.84 : 410,757.29 = 161,678.75 : x
  2. Step 2: Convert to fraction form
    297,644.84/410,757.29 = 161,678.75/x
  3. Step 3: Cross multiply
    297,644.84x = 410,757.29 × 161,678.75
  4. Step 4: Simplify right side
    297,644.84x = 66,410,722,338.41
  5. Step 5: Solve for x
    x = 66,410,722,338.41/297,644.84
  6. Step 6: Final answer
    x = 223,120.69

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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.