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Finding the Fourth Proportional to 321,882.24, 444,462.72 and 208,897.92

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Solution

The fourth proportional to 321,882.24, 444,462.72 and 208,897.92 is: 288,451.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,882.24 : 444,462.72 = 208,897.92 : x
  2. Step 2: Convert to fraction form
    321,882.24/444,462.72 = 208,897.92/x
  3. Step 3: Cross multiply
    321,882.24x = 444,462.72 × 208,897.92
  4. Step 4: Simplify right side
    321,882.24x = 92,847,337,725.54
  5. Step 5: Solve for x
    x = 92,847,337,725.54/321,882.24
  6. Step 6: Final answer
    x = 288,451.26

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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.