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Finding the Fourth Proportional to 361,491.12, 498,844.15 and 200,348.91

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Solution

The fourth proportional to 361,491.12, 498,844.15 and 200,348.91 is: 276,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,491.12 : 498,844.15 = 200,348.91 : x
  2. Step 2: Convert to fraction form
    361,491.12/498,844.15 = 200,348.91/x
  3. Step 3: Cross multiply
    361,491.12x = 498,844.15 × 200,348.91
  4. Step 4: Simplify right side
    361,491.12x = 99,942,881,712.38
  5. Step 5: Solve for x
    x = 99,942,881,712.38/361,491.12
  6. Step 6: Final answer
    x = 276,473.96

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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.