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Finding the Fourth Proportional to 323,203.97, 446,024.98 and 179,966.41

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Solution

The fourth proportional to 323,203.97, 446,024.98 and 179,966.41 is: 248,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,203.97 : 446,024.98 = 179,966.41 : x
  2. Step 2: Convert to fraction form
    323,203.97/446,024.98 = 179,966.41/x
  3. Step 3: Cross multiply
    323,203.97x = 446,024.98 × 179,966.41
  4. Step 4: Simplify right side
    323,203.97x = 80,269,513,530.82
  5. Step 5: Solve for x
    x = 80,269,513,530.82/323,203.97
  6. Step 6: Final answer
    x = 248,355.59

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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.