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Finding the Fourth Proportional to 331,754.40, 497,631.60 and 82,436.40

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Solution

The fourth proportional to 331,754.40, 497,631.60 and 82,436.40 is: 123,654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,754.40 : 497,631.60 = 82,436.40 : x
  2. Step 2: Convert to fraction form
    331,754.40/497,631.60 = 82,436.40/x
  3. Step 3: Cross multiply
    331,754.40x = 497,631.60 × 82,436.40
  4. Step 4: Simplify right side
    331,754.40x = 41,022,957,630.24
  5. Step 5: Solve for x
    x = 41,022,957,630.24/331,754.40
  6. Step 6: Final answer
    x = 123,654.60

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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.