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Finding the Fourth Proportional to 367,786.92, 507,546.36 and 206,641.84

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Solution

The fourth proportional to 367,786.92, 507,546.36 and 206,641.84 is: 285,165.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,786.92 : 507,546.36 = 206,641.84 : x
  2. Step 2: Convert to fraction form
    367,786.92/507,546.36 = 206,641.84/x
  3. Step 3: Cross multiply
    367,786.92x = 507,546.36 × 206,641.84
  4. Step 4: Simplify right side
    367,786.92x = 104,880,313,715.70
  5. Step 5: Solve for x
    x = 104,880,313,715.70/367,786.92
  6. Step 6: Final answer
    x = 285,165.97

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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.