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Finding the Fourth Proportional to 303,449.92, 418,580.24 and 196,083.04

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Solution

The fourth proportional to 303,449.92, 418,580.24 and 196,083.04 is: 270,477.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,449.92 : 418,580.24 = 196,083.04 : x
  2. Step 2: Convert to fraction form
    303,449.92/418,580.24 = 196,083.04/x
  3. Step 3: Cross multiply
    303,449.92x = 418,580.24 × 196,083.04
  4. Step 4: Simplify right side
    303,449.92x = 82,076,485,943.13
  5. Step 5: Solve for x
    x = 82,076,485,943.13/303,449.92
  6. Step 6: Final answer
    x = 270,477.86

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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.