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Finding the Fourth Proportional to 546,857.70, 820,286.55 and 513,615.30

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Solution

The fourth proportional to 546,857.70, 820,286.55 and 513,615.30 is: 770,422.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,857.70 : 820,286.55 = 513,615.30 : x
  2. Step 2: Convert to fraction form
    546,857.70/820,286.55 = 513,615.30/x
  3. Step 3: Cross multiply
    546,857.70x = 820,286.55 × 513,615.30
  4. Step 4: Simplify right side
    546,857.70x = 421,311,722,464.22
  5. Step 5: Solve for x
    x = 421,311,722,464.22/546,857.70
  6. Step 6: Final answer
    x = 770,422.95

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