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Finding the Fourth Proportional to 327,950.28, 491,994.54 and 106,317

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Solution

The fourth proportional to 327,950.28, 491,994.54 and 106,317 is: 159,497.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,950.28 : 491,994.54 = 106,317 : x
  2. Step 2: Convert to fraction form
    327,950.28/491,994.54 = 106,317/x
  3. Step 3: Cross multiply
    327,950.28x = 491,994.54 × 106,317
  4. Step 4: Simplify right side
    327,950.28x = 52,307,383,509.18
  5. Step 5: Solve for x
    x = 52,307,383,509.18/327,950.28
  6. Step 6: Final answer
    x = 159,497.91

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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.