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Finding the Fourth Proportional to 341,198.28, 470,940.12 and 197,940.24

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Solution

The fourth proportional to 341,198.28, 470,940.12 and 197,940.24 is: 273,207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,198.28 : 470,940.12 = 197,940.24 : x
  2. Step 2: Convert to fraction form
    341,198.28/470,940.12 = 197,940.24/x
  3. Step 3: Cross multiply
    341,198.28x = 470,940.12 × 197,940.24
  4. Step 4: Simplify right side
    341,198.28x = 93,218,000,378.43
  5. Step 5: Solve for x
    x = 93,218,000,378.43/341,198.28
  6. Step 6: Final answer
    x = 273,207.71

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1.5x scale

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.