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Finding the Fourth Proportional to 327,594.64, 491,372.52 and 192,734.56

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Solution

The fourth proportional to 327,594.64, 491,372.52 and 192,734.56 is: 289,090.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,594.64 : 491,372.52 = 192,734.56 : x
  2. Step 2: Convert to fraction form
    327,594.64/491,372.52 = 192,734.56/x
  3. Step 3: Cross multiply
    327,594.64x = 491,372.52 × 192,734.56
  4. Step 4: Simplify right side
    327,594.64x = 94,704,466,438.29
  5. Step 5: Solve for x
    x = 94,704,466,438.29/327,594.64
  6. Step 6: Final answer
    x = 289,090.40

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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.