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Finding the Fourth Proportional to 340,786.71, 470,295.11 and 195,604.94

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Solution

The fourth proportional to 340,786.71, 470,295.11 and 195,604.94 is: 269,940.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,786.71 : 470,295.11 = 195,604.94 : x
  2. Step 2: Convert to fraction form
    340,786.71/470,295.11 = 195,604.94/x
  3. Step 3: Cross multiply
    340,786.71x = 470,295.11 × 195,604.94
  4. Step 4: Simplify right side
    340,786.71x = 91,992,048,438.59
  5. Step 5: Solve for x
    x = 91,992,048,438.59/340,786.71
  6. Step 6: Final answer
    x = 269,940.25

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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.