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Finding the Fourth Proportional to 327,856.59, 491,019.44 and 252,377.82

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Solution

The fourth proportional to 327,856.59, 491,019.44 and 252,377.82 is: 377,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,856.59 : 491,019.44 = 252,377.82 : x
  2. Step 2: Convert to fraction form
    327,856.59/491,019.44 = 252,377.82/x
  3. Step 3: Cross multiply
    327,856.59x = 491,019.44 × 252,377.82
  4. Step 4: Simplify right side
    327,856.59x = 123,922,414,582.93
  5. Step 5: Solve for x
    x = 123,922,414,582.93/327,856.59
  6. Step 6: Final answer
    x = 377,977.50

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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.