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Finding the Fourth Proportional to 323,480.92, 446,443.14 and 196,156.12

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Solution

The fourth proportional to 323,480.92, 446,443.14 and 196,156.12 is: 270,719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,480.92 : 446,443.14 = 196,156.12 : x
  2. Step 2: Convert to fraction form
    323,480.92/446,443.14 = 196,156.12/x
  3. Step 3: Cross multiply
    323,480.92x = 446,443.14 × 196,156.12
  4. Step 4: Simplify right side
    323,480.92x = 87,572,554,143.02
  5. Step 5: Solve for x
    x = 87,572,554,143.02/323,480.92
  6. Step 6: Final answer
    x = 270,719.38

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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.