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Finding the Fourth Proportional to 322,592.25, 483,857.10 and 97,954.66

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Solution

The fourth proportional to 322,592.25, 483,857.10 and 97,954.66 is: 146,922.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,592.25 : 483,857.10 = 97,954.66 : x
  2. Step 2: Convert to fraction form
    322,592.25/483,857.10 = 97,954.66/x
  3. Step 3: Cross multiply
    322,592.25x = 483,857.10 × 97,954.66
  4. Step 4: Simplify right side
    322,592.25x = 47,396,056,217.92
  5. Step 5: Solve for x
    x = 47,396,056,217.92/322,592.25
  6. Step 6: Final answer
    x = 146,922.49

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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.