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Finding the Fourth Proportional to 361,439.61, 498,787.83 and 200,297.31

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Solution

The fourth proportional to 361,439.61, 498,787.83 and 200,297.31 is: 276,410.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,439.61 : 498,787.83 = 200,297.31 : x
  2. Step 2: Convert to fraction form
    361,439.61/498,787.83 = 200,297.31/x
  3. Step 3: Cross multiply
    361,439.61x = 498,787.83 × 200,297.31
  4. Step 4: Simplify right side
    361,439.61x = 99,905,860,609.74
  5. Step 5: Solve for x
    x = 99,905,860,609.74/361,439.61
  6. Step 6: Final answer
    x = 276,410.94

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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.