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Finding the Fourth Proportional to 331,815.72, 497,723.22 and 82,497.72

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Solution

The fourth proportional to 331,815.72, 497,723.22 and 82,497.72 is: 123,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,815.72 : 497,723.22 = 82,497.72 : x
  2. Step 2: Convert to fraction form
    331,815.72/497,723.22 = 82,497.72/x
  3. Step 3: Cross multiply
    331,815.72x = 497,723.22 × 82,497.72
  4. Step 4: Simplify right side
    331,815.72x = 41,061,030,841.06
  5. Step 5: Solve for x
    x = 41,061,030,841.06/331,815.72
  6. Step 6: Final answer
    x = 123,746.49

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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.