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Finding the Fourth Proportional to 323,863.22, 447,111.91 and 227,363.19

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Solution

The fourth proportional to 323,863.22, 447,111.91 and 227,363.19 is: 313,888.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,863.22 : 447,111.91 = 227,363.19 : x
  2. Step 2: Convert to fraction form
    323,863.22/447,111.91 = 227,363.19/x
  3. Step 3: Cross multiply
    323,863.22x = 447,111.91 × 227,363.19
  4. Step 4: Simplify right side
    323,863.22x = 101,656,790,428.80
  5. Step 5: Solve for x
    x = 101,656,790,428.80/323,863.22
  6. Step 6: Final answer
    x = 313,888.04

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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.