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Finding the Fourth Proportional to 361,787.94, 499,259.57 and 200,639.52

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Solution

The fourth proportional to 361,787.94, 499,259.57 and 200,639.52 is: 276,878.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,787.94 : 499,259.57 = 200,639.52 : x
  2. Step 2: Convert to fraction form
    361,787.94/499,259.57 = 200,639.52/x
  3. Step 3: Cross multiply
    361,787.94x = 499,259.57 × 200,639.52
  4. Step 4: Simplify right side
    361,787.94x = 100,171,199,477.01
  5. Step 5: Solve for x
    x = 100,171,199,477.01/361,787.94
  6. Step 6: Final answer
    x = 276,878.22

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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.