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Finding the Fourth Proportional to 321,969.52, 482,844.92 and 111,558.40

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Solution

The fourth proportional to 321,969.52, 482,844.92 and 111,558.40 is: 167,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,969.52 : 482,844.92 = 111,558.40 : x
  2. Step 2: Convert to fraction form
    321,969.52/482,844.92 = 111,558.40/x
  3. Step 3: Cross multiply
    321,969.52x = 482,844.92 × 111,558.40
  4. Step 4: Simplify right side
    321,969.52x = 53,865,406,723.33
  5. Step 5: Solve for x
    x = 53,865,406,723.33/321,969.52
  6. Step 6: Final answer
    x = 167,299.71

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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.