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Finding the Fourth Proportional to 361,245.84, 498,469.92 and 200,061.12

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Solution

The fourth proportional to 361,245.84, 498,469.92 and 200,061.12 is: 276,057.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,245.84 : 498,469.92 = 200,061.12 : x
  2. Step 2: Convert to fraction form
    361,245.84/498,469.92 = 200,061.12/x
  3. Step 3: Cross multiply
    361,245.84x = 498,469.92 × 200,061.12
  4. Step 4: Simplify right side
    361,245.84x = 99,724,450,481.51
  5. Step 5: Solve for x
    x = 99,724,450,481.51/361,245.84
  6. Step 6: Final answer
    x = 276,057.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.