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Finding the Fourth Proportional to 321,796.13, 444,099.87 and 185,835.78

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Solution

The fourth proportional to 321,796.13, 444,099.87 and 185,835.78 is: 256,465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,796.13 : 444,099.87 = 185,835.78 : x
  2. Step 2: Convert to fraction form
    321,796.13/444,099.87 = 185,835.78/x
  3. Step 3: Cross multiply
    321,796.13x = 444,099.87 × 185,835.78
  4. Step 4: Simplify right side
    321,796.13x = 82,529,645,739.35
  5. Step 5: Solve for x
    x = 82,529,645,739.35/321,796.13
  6. Step 6: Final answer
    x = 256,465.63

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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.