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Finding the Fourth Proportional to 331,825.68, 497,743.20 and 82,507.68

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Solution

The fourth proportional to 331,825.68, 497,743.20 and 82,507.68 is: 123,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,825.68 : 497,743.20 = 82,507.68 : x
  2. Step 2: Convert to fraction form
    331,825.68/497,743.20 = 82,507.68/x
  3. Step 3: Cross multiply
    331,825.68x = 497,743.20 × 82,507.68
  4. Step 4: Simplify right side
    331,825.68x = 41,067,636,667.78
  5. Step 5: Solve for x
    x = 41,067,636,667.78/331,825.68
  6. Step 6: Final answer
    x = 123,762.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.