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Finding the Fourth Proportional to 331,850.98, 498,274.96 and 189,856.56

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Solution

The fourth proportional to 331,850.98, 498,274.96 and 189,856.56 is: 285,070.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,850.98 : 498,274.96 = 189,856.56 : x
  2. Step 2: Convert to fraction form
    331,850.98/498,274.96 = 189,856.56/x
  3. Step 3: Cross multiply
    331,850.98x = 498,274.96 × 189,856.56
  4. Step 4: Simplify right side
    331,850.98x = 94,600,769,839.74
  5. Step 5: Solve for x
    x = 94,600,769,839.74/331,850.98
  6. Step 6: Final answer
    x = 285,070.03

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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.