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Finding the Fourth Proportional to 363,615.13, 501,784.09 and 200,268.50

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Solution

The fourth proportional to 363,615.13, 501,784.09 and 200,268.50 is: 276,367.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,615.13 : 501,784.09 = 200,268.50 : x
  2. Step 2: Convert to fraction form
    363,615.13/501,784.09 = 200,268.50/x
  3. Step 3: Cross multiply
    363,615.13x = 501,784.09 × 200,268.50
  4. Step 4: Simplify right side
    363,615.13x = 100,491,546,274.38
  5. Step 5: Solve for x
    x = 100,491,546,274.38/363,615.13
  6. Step 6: Final answer
    x = 276,367.89

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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.