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Finding the Fourth Proportional to 331,558.57, 496,983.75 and 189,097.14

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Solution

The fourth proportional to 331,558.57, 496,983.75 and 189,097.14 is: 283,443.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,558.57 : 496,983.75 = 189,097.14 : x
  2. Step 2: Convert to fraction form
    331,558.57/496,983.75 = 189,097.14/x
  3. Step 3: Cross multiply
    331,558.57x = 496,983.75 × 189,097.14
  4. Step 4: Simplify right side
    331,558.57x = 93,978,205,751.48
  5. Step 5: Solve for x
    x = 93,978,205,751.48/331,558.57
  6. Step 6: Final answer
    x = 283,443.75

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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.