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Finding the Fourth Proportional to 362,940.64, 500,855.46 and 201,794.44

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Solution

The fourth proportional to 362,940.64, 500,855.46 and 201,794.44 is: 278,474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,940.64 : 500,855.46 = 201,794.44 : x
  2. Step 2: Convert to fraction form
    362,940.64/500,855.46 = 201,794.44/x
  3. Step 3: Cross multiply
    362,940.64x = 500,855.46 × 201,794.44
  4. Step 4: Simplify right side
    362,940.64x = 101,069,847,071.64
  5. Step 5: Solve for x
    x = 101,069,847,071.64/362,940.64
  6. Step 6: Final answer
    x = 278,474.87

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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.