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Finding the Fourth Proportional to 387,874.08, 535,262.88 and 218,104.56

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Solution

The fourth proportional to 387,874.08, 535,262.88 and 218,104.56 is: 300,982.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,874.08 : 535,262.88 = 218,104.56 : x
  2. Step 2: Convert to fraction form
    387,874.08/535,262.88 = 218,104.56/x
  3. Step 3: Cross multiply
    387,874.08x = 535,262.88 × 218,104.56
  4. Step 4: Simplify right side
    387,874.08x = 116,743,274,926.73
  5. Step 5: Solve for x
    x = 116,743,274,926.73/387,874.08
  6. Step 6: Final answer
    x = 300,982.41

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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.