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Finding the Fourth Proportional to 321,952.86, 444,286.62 and 178,709.22

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Solution

The fourth proportional to 321,952.86, 444,286.62 and 178,709.22 is: 246,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,952.86 : 444,286.62 = 178,709.22 : x
  2. Step 2: Convert to fraction form
    321,952.86/444,286.62 = 178,709.22/x
  3. Step 3: Cross multiply
    321,952.86x = 444,286.62 × 178,709.22
  4. Step 4: Simplify right side
    321,952.86x = 79,398,115,316.64
  5. Step 5: Solve for x
    x = 79,398,115,316.64/321,952.86
  6. Step 6: Final answer
    x = 246,614.10

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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.