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Finding the Fourth Proportional to 362,942.64, 500,858.22 and 201,796.44

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Solution

The fourth proportional to 362,942.64, 500,858.22 and 201,796.44 is: 278,477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,942.64 : 500,858.22 = 201,796.44 : x
  2. Step 2: Convert to fraction form
    362,942.64/500,858.22 = 201,796.44/x
  3. Step 3: Cross multiply
    362,942.64x = 500,858.22 × 201,796.44
  4. Step 4: Simplify right side
    362,942.64x = 101,071,405,740.74
  5. Step 5: Solve for x
    x = 101,071,405,740.74/362,942.64
  6. Step 6: Final answer
    x = 278,477.63

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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.