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Finding the Fourth Proportional to 226,978.40, 340,467.60 and 179,976.80

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Solution

The fourth proportional to 226,978.40, 340,467.60 and 179,976.80 is: 269,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,978.40 : 340,467.60 = 179,976.80 : x
  2. Step 2: Convert to fraction form
    226,978.40/340,467.60 = 179,976.80/x
  3. Step 3: Cross multiply
    226,978.40x = 340,467.60 × 179,976.80
  4. Step 4: Simplify right side
    226,978.40x = 61,276,269,151.68
  5. Step 5: Solve for x
    x = 61,276,269,151.68/226,978.40
  6. Step 6: Final answer
    x = 269,965.20

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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.