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Finding the Fourth Proportional to 331,467, 497,200.50 and 109,851

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Solution

The fourth proportional to 331,467, 497,200.50 and 109,851 is: 164,776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,467 : 497,200.50 = 109,851 : x
  2. Step 2: Convert to fraction form
    331,467/497,200.50 = 109,851/x
  3. Step 3: Cross multiply
    331,467x = 497,200.50 × 109,851
  4. Step 4: Simplify right side
    331,467x = 54,617,972,125.50
  5. Step 5: Solve for x
    x = 54,617,972,125.50/331,467
  6. Step 6: Final answer
    x = 164,776.50

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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.