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Finding the Fourth Proportional to 358,105.44, 494,199.60 and 196,975.49

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Solution

The fourth proportional to 358,105.44, 494,199.60 and 196,975.49 is: 271,833.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,105.44 : 494,199.60 = 196,975.49 : x
  2. Step 2: Convert to fraction form
    358,105.44/494,199.60 = 196,975.49/x
  3. Step 3: Cross multiply
    358,105.44x = 494,199.60 × 196,975.49
  4. Step 4: Simplify right side
    358,105.44x = 97,345,205,896.81
  5. Step 5: Solve for x
    x = 97,345,205,896.81/358,105.44
  6. Step 6: Final answer
    x = 271,833.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.