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Finding the Fourth Proportional to 420,634.64, 580,542.46 and 267,513.18

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Solution

The fourth proportional to 420,634.64, 580,542.46 and 267,513.18 is: 369,210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,634.64 : 580,542.46 = 267,513.18 : x
  2. Step 2: Convert to fraction form
    420,634.64/580,542.46 = 267,513.18/x
  3. Step 3: Cross multiply
    420,634.64x = 580,542.46 × 267,513.18
  4. Step 4: Simplify right side
    420,634.64x = 155,302,759,599.62
  5. Step 5: Solve for x
    x = 155,302,759,599.62/420,634.64
  6. Step 6: Final answer
    x = 369,210.58

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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.