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Finding the Fourth Proportional to 358,105.76, 494,178.47 and 196,958.18

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Solution

The fourth proportional to 358,105.76, 494,178.47 and 196,958.18 is: 271,798.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,105.76 : 494,178.47 = 196,958.18 : x
  2. Step 2: Convert to fraction form
    358,105.76/494,178.47 = 196,958.18/x
  3. Step 3: Cross multiply
    358,105.76x = 494,178.47 × 196,958.18
  4. Step 4: Simplify right side
    358,105.76x = 97,332,493,035.63
  5. Step 5: Solve for x
    x = 97,332,493,035.63/358,105.76
  6. Step 6: Final answer
    x = 271,798.18

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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.