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Finding the Fourth Proportional to 361,440.82, 498,792.50 and 200,298.61

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Solution

The fourth proportional to 361,440.82, 498,792.50 and 200,298.61 is: 276,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,440.82 : 498,792.50 = 200,298.61 : x
  2. Step 2: Convert to fraction form
    361,440.82/498,792.50 = 200,298.61/x
  3. Step 3: Cross multiply
    361,440.82x = 498,792.50 × 200,298.61
  4. Step 4: Simplify right side
    361,440.82x = 99,907,444,428.43
  5. Step 5: Solve for x
    x = 99,907,444,428.43/361,440.82
  6. Step 6: Final answer
    x = 276,414.39

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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.