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Finding the Fourth Proportional to 331,814.25, 497,723.27 and 82,496.25

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Solution

The fourth proportional to 331,814.25, 497,723.27 and 82,496.25 is: 123,744.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,814.25 : 497,723.27 = 82,496.25 : x
  2. Step 2: Convert to fraction form
    331,814.25/497,723.27 = 82,496.25/x
  3. Step 3: Cross multiply
    331,814.25x = 497,723.27 × 82,496.25
  4. Step 4: Simplify right side
    331,814.25x = 41,060,302,900.26
  5. Step 5: Solve for x
    x = 41,060,302,900.26/331,814.25
  6. Step 6: Final answer
    x = 123,744.84

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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.