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Finding the Fourth Proportional to 297,296.12, 410,266.53 and 161,326.61

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Solution

The fourth proportional to 297,296.12, 410,266.53 and 161,326.61 is: 222,629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,296.12 : 410,266.53 = 161,326.61 : x
  2. Step 2: Convert to fraction form
    297,296.12/410,266.53 = 161,326.61/x
  3. Step 3: Cross multiply
    297,296.12x = 410,266.53 × 161,326.61
  4. Step 4: Simplify right side
    297,296.12x = 66,186,908,481.36
  5. Step 5: Solve for x
    x = 66,186,908,481.36/297,296.12
  6. Step 6: Final answer
    x = 222,629.57

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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.