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Finding the Fourth Proportional to 769,419, 1,061,766.63 and 447,126.48

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Solution

The fourth proportional to 769,419, 1,061,766.63 and 447,126.48 is: 617,016.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,419 : 1,061,766.63 = 447,126.48 : x
  2. Step 2: Convert to fraction form
    769,419/1,061,766.63 = 447,126.48/x
  3. Step 3: Cross multiply
    769,419x = 1,061,766.63 × 447,126.48
  4. Step 4: Simplify right side
    769,419x = 474,743,975,853.36
  5. Step 5: Solve for x
    x = 474,743,975,853.36/769,419
  6. Step 6: Final answer
    x = 617,016.18

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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.