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Finding the Fourth Proportional to 297,361.68, 410,348.14 and 161,392.71

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Solution

The fourth proportional to 297,361.68, 410,348.14 and 161,392.71 is: 222,715.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,361.68 : 410,348.14 = 161,392.71 : x
  2. Step 2: Convert to fraction form
    297,361.68/410,348.14 = 161,392.71/x
  3. Step 3: Cross multiply
    297,361.68x = 410,348.14 × 161,392.71
  4. Step 4: Simplify right side
    297,361.68x = 66,227,198,358.06
  5. Step 5: Solve for x
    x = 66,227,198,358.06/297,361.68
  6. Step 6: Final answer
    x = 222,715.98

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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.