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Finding the Fourth Proportional to 432,833.10, 649,249.65 and 327,857.10

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Solution

The fourth proportional to 432,833.10, 649,249.65 and 327,857.10 is: 491,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,833.10 : 649,249.65 = 327,857.10 : x
  2. Step 2: Convert to fraction form
    432,833.10/649,249.65 = 327,857.10/x
  3. Step 3: Cross multiply
    432,833.10x = 649,249.65 × 327,857.10
  4. Step 4: Simplify right side
    432,833.10x = 212,861,107,425.02
  5. Step 5: Solve for x
    x = 212,861,107,425.02/432,833.10
  6. Step 6: Final answer
    x = 491,785.65

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