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Finding the Fourth Proportional to 331,901.23, 497,851.95 and 82,583.23

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Solution

The fourth proportional to 331,901.23, 497,851.95 and 82,583.23 is: 123,874.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,901.23 : 497,851.95 = 82,583.23 : x
  2. Step 2: Convert to fraction form
    331,901.23/497,851.95 = 82,583.23/x
  3. Step 3: Cross multiply
    331,901.23x = 497,851.95 × 82,583.23
  4. Step 4: Simplify right side
    331,901.23x = 41,114,222,092.80
  5. Step 5: Solve for x
    x = 41,114,222,092.80/331,901.23
  6. Step 6: Final answer
    x = 123,874.87

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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.