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Finding the Fourth Proportional to 367,778.56, 507,550.09 and 206,633.92

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Solution

The fourth proportional to 367,778.56, 507,550.09 and 206,633.92 is: 285,163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,778.56 : 507,550.09 = 206,633.92 : x
  2. Step 2: Convert to fraction form
    367,778.56/507,550.09 = 206,633.92/x
  3. Step 3: Cross multiply
    367,778.56x = 507,550.09 × 206,633.92
  4. Step 4: Simplify right side
    367,778.56x = 104,877,064,693.05
  5. Step 5: Solve for x
    x = 104,877,064,693.05/367,778.56
  6. Step 6: Final answer
    x = 285,163.62

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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.