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Finding the Fourth Proportional to 362,878.67, 500,789.64 and 201,736.39

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Solution

The fourth proportional to 362,878.67, 500,789.64 and 201,736.39 is: 278,405.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,878.67 : 500,789.64 = 201,736.39 : x
  2. Step 2: Convert to fraction form
    362,878.67/500,789.64 = 201,736.39/x
  3. Step 3: Cross multiply
    362,878.67x = 500,789.64 × 201,736.39
  4. Step 4: Simplify right side
    362,878.67x = 101,027,494,123.00
  5. Step 5: Solve for x
    x = 101,027,494,123.00/362,878.67
  6. Step 6: Final answer
    x = 278,405.71

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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.