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Finding the Fourth Proportional to 274,891.20, 412,336.80 and 164,299.20

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Solution

The fourth proportional to 274,891.20, 412,336.80 and 164,299.20 is: 246,448.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,891.20 : 412,336.80 = 164,299.20 : x
  2. Step 2: Convert to fraction form
    274,891.20/412,336.80 = 164,299.20/x
  3. Step 3: Cross multiply
    274,891.20x = 412,336.80 × 164,299.20
  4. Step 4: Simplify right side
    274,891.20x = 67,746,606,370.56
  5. Step 5: Solve for x
    x = 67,746,606,370.56/274,891.20
  6. Step 6: Final answer
    x = 246,448.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.