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Finding the Fourth Proportional to 327,886.34, 491,846.94 and 103,264.34

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Solution

The fourth proportional to 327,886.34, 491,846.94 and 103,264.34 is: 154,901.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,886.34 : 491,846.94 = 103,264.34 : x
  2. Step 2: Convert to fraction form
    327,886.34/491,846.94 = 103,264.34/x
  3. Step 3: Cross multiply
    327,886.34x = 491,846.94 × 103,264.34
  4. Step 4: Simplify right side
    327,886.34x = 50,790,247,180.88
  5. Step 5: Solve for x
    x = 50,790,247,180.88/327,886.34
  6. Step 6: Final answer
    x = 154,901.99

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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.