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Finding the Fourth Proportional to 362,898.43, 500,771.46 and 201,743.66

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Solution

The fourth proportional to 362,898.43, 500,771.46 and 201,743.66 is: 278,390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,898.43 : 500,771.46 = 201,743.66 : x
  2. Step 2: Convert to fraction form
    362,898.43/500,771.46 = 201,743.66/x
  3. Step 3: Cross multiply
    362,898.43x = 500,771.46 × 201,743.66
  4. Step 4: Simplify right side
    362,898.43x = 101,027,469,172.41
  5. Step 5: Solve for x
    x = 101,027,469,172.41/362,898.43
  6. Step 6: Final answer
    x = 278,390.48

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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.