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Finding the Fourth Proportional to 362,878.42, 500,789.30 and 201,736.14

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Solution

The fourth proportional to 362,878.42, 500,789.30 and 201,736.14 is: 278,405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,878.42 : 500,789.30 = 201,736.14 : x
  2. Step 2: Convert to fraction form
    362,878.42/500,789.30 = 201,736.14/x
  3. Step 3: Cross multiply
    362,878.42x = 500,789.30 × 201,736.14
  4. Step 4: Simplify right side
    362,878.42x = 101,027,299,326.62
  5. Step 5: Solve for x
    x = 101,027,299,326.62/362,878.42
  6. Step 6: Final answer
    x = 278,405.37

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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.