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Finding the Fourth Proportional to 327,706.16, 452,268.52 and 200,466.40

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Solution

The fourth proportional to 327,706.16, 452,268.52 and 200,466.40 is: 276,664.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,706.16 : 452,268.52 = 200,466.40 : x
  2. Step 2: Convert to fraction form
    327,706.16/452,268.52 = 200,466.40/x
  3. Step 3: Cross multiply
    327,706.16x = 452,268.52 × 200,466.40
  4. Step 4: Simplify right side
    327,706.16x = 90,664,642,037.73
  5. Step 5: Solve for x
    x = 90,664,642,037.73/327,706.16
  6. Step 6: Final answer
    x = 276,664.44

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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.