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Finding the Fourth Proportional to 547,282.80, 820,924.20 and 494,138.70

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Solution

The fourth proportional to 547,282.80, 820,924.20 and 494,138.70 is: 741,208.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,282.80 : 820,924.20 = 494,138.70 : x
  2. Step 2: Convert to fraction form
    547,282.80/820,924.20 = 494,138.70/x
  3. Step 3: Cross multiply
    547,282.80x = 820,924.20 × 494,138.70
  4. Step 4: Simplify right side
    547,282.80x = 405,650,416,986.54
  5. Step 5: Solve for x
    x = 405,650,416,986.54/547,282.80
  6. Step 6: Final answer
    x = 741,208.05

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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.