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Finding the Fourth Proportional to 362,716.44, 500,538.69 and 201,567.39

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Solution

The fourth proportional to 362,716.44, 500,538.69 and 201,567.39 is: 278,157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,716.44 : 500,538.69 = 201,567.39 : x
  2. Step 2: Convert to fraction form
    362,716.44/500,538.69 = 201,567.39/x
  3. Step 3: Cross multiply
    362,716.44x = 500,538.69 × 201,567.39
  4. Step 4: Simplify right side
    362,716.44x = 100,892,277,337.32
  5. Step 5: Solve for x
    x = 100,892,277,337.32/362,716.44
  6. Step 6: Final answer
    x = 278,157.44

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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.