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Finding the Fourth Proportional to 327,813, 491,804 and 178,014.84

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Solution

The fourth proportional to 327,813, 491,804 and 178,014.84 is: 267,068.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,813 : 491,804 = 178,014.84 : x
  2. Step 2: Convert to fraction form
    327,813/491,804 = 178,014.84/x
  3. Step 3: Cross multiply
    327,813x = 491,804 × 178,014.84
  4. Step 4: Simplify right side
    327,813x = 87,548,410,371.36
  5. Step 5: Solve for x
    x = 87,548,410,371.36/327,813
  6. Step 6: Final answer
    x = 267,068.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.