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Finding the Fourth Proportional to 297,696.58, 410,819.58 and 161,729.44

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Solution

The fourth proportional to 297,696.58, 410,819.58 and 161,729.44 is: 223,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,696.58 : 410,819.58 = 161,729.44 : x
  2. Step 2: Convert to fraction form
    297,696.58/410,819.58 = 161,729.44/x
  3. Step 3: Cross multiply
    297,696.58x = 410,819.58 × 161,729.44
  4. Step 4: Simplify right side
    297,696.58x = 66,441,620,614.44
  5. Step 5: Solve for x
    x = 66,441,620,614.44/297,696.58
  6. Step 6: Final answer
    x = 223,185.70

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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.