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Finding the Fourth Proportional to 306,496.10, 422,957.99 and 177,440.04

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Solution

The fourth proportional to 306,496.10, 422,957.99 and 177,440.04 is: 244,863.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,496.10 : 422,957.99 = 177,440.04 : x
  2. Step 2: Convert to fraction form
    306,496.10/422,957.99 = 177,440.04/x
  3. Step 3: Cross multiply
    306,496.10x = 422,957.99 × 177,440.04
  4. Step 4: Simplify right side
    306,496.10x = 75,049,682,663.92
  5. Step 5: Solve for x
    x = 75,049,682,663.92/306,496.10
  6. Step 6: Final answer
    x = 244,863.42

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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.