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Finding the Fourth Proportional to 420,634.14, 580,541.76 and 267,512.69

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Solution

The fourth proportional to 420,634.14, 580,541.76 and 267,512.69 is: 369,209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,634.14 : 580,541.76 = 267,512.69 : x
  2. Step 2: Convert to fraction form
    420,634.14/580,541.76 = 267,512.69/x
  3. Step 3: Cross multiply
    420,634.14x = 580,541.76 × 267,512.69
  4. Step 4: Simplify right side
    420,634.14x = 155,302,284,972.23
  5. Step 5: Solve for x
    x = 155,302,284,972.23/420,634.14
  6. Step 6: Final answer
    x = 369,209.89

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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.