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Finding the Fourth Proportional to 492,768.80, 738,642.90 and 267,653.60

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Solution

The fourth proportional to 492,768.80, 738,642.90 and 267,653.60 is: 401,203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,768.80 : 738,642.90 = 267,653.60 : x
  2. Step 2: Convert to fraction form
    492,768.80/738,642.90 = 267,653.60/x
  3. Step 3: Cross multiply
    492,768.80x = 738,642.90 × 267,653.60
  4. Step 4: Simplify right side
    492,768.80x = 197,700,431,299.44
  5. Step 5: Solve for x
    x = 197,700,431,299.44/492,768.80
  6. Step 6: Final answer
    x = 401,203.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.