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Finding the Fourth Proportional to 363,615.63, 501,784.78 and 200,269

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Solution

The fourth proportional to 363,615.63, 501,784.78 and 200,269 is: 276,368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,615.63 : 501,784.78 = 200,269 : x
  2. Step 2: Convert to fraction form
    363,615.63/501,784.78 = 200,269/x
  3. Step 3: Cross multiply
    363,615.63x = 501,784.78 × 200,269
  4. Step 4: Simplify right side
    363,615.63x = 100,491,936,105.82
  5. Step 5: Solve for x
    x = 100,491,936,105.82/363,615.63
  6. Step 6: Final answer
    x = 276,368.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.