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Finding the Fourth Proportional to 492,768.30, 738,642.15 and 267,653.10

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Solution

The fourth proportional to 492,768.30, 738,642.15 and 267,653.10 is: 401,202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,768.30 : 738,642.15 = 267,653.10 : x
  2. Step 2: Convert to fraction form
    492,768.30/738,642.15 = 267,653.10/x
  3. Step 3: Cross multiply
    492,768.30x = 738,642.15 × 267,653.10
  4. Step 4: Simplify right side
    492,768.30x = 197,699,861,238.17
  5. Step 5: Solve for x
    x = 197,699,861,238.17/492,768.30
  6. Step 6: Final answer
    x = 401,202.47

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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.