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Finding the Fourth Proportional to 323,709.54, 446,742.81 and 187,789.92

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Solution

The fourth proportional to 323,709.54, 446,742.81 and 187,789.92 is: 259,163.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,709.54 : 446,742.81 = 187,789.92 : x
  2. Step 2: Convert to fraction form
    323,709.54/446,742.81 = 187,789.92/x
  3. Step 3: Cross multiply
    323,709.54x = 446,742.81 × 187,789.92
  4. Step 4: Simplify right side
    323,709.54x = 83,893,796,550.48
  5. Step 5: Solve for x
    x = 83,893,796,550.48/323,709.54
  6. Step 6: Final answer
    x = 259,163.81

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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.