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Finding the Fourth Proportional to 331,476, 497,214 and 109,860

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Solution

The fourth proportional to 331,476, 497,214 and 109,860 is: 164,790

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,476 : 497,214 = 109,860 : x
  2. Step 2: Convert to fraction form
    331,476/497,214 = 109,860/x
  3. Step 3: Cross multiply
    331,476x = 497,214 × 109,860
  4. Step 4: Simplify right side
    331,476x = 54,623,930,040
  5. Step 5: Solve for x
    x = 54,623,930,040/331,476
  6. Step 6: Final answer
    x = 164,790

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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.