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Finding the Fourth Proportional to 547,120.48, 820,672.08 and 280,727.20

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Solution

The fourth proportional to 547,120.48, 820,672.08 and 280,727.20 is: 421,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,120.48 : 820,672.08 = 280,727.20 : x
  2. Step 2: Convert to fraction form
    547,120.48/820,672.08 = 280,727.20/x
  3. Step 3: Cross multiply
    547,120.48x = 820,672.08 × 280,727.20
  4. Step 4: Simplify right side
    547,120.48x = 230,384,975,136.58
  5. Step 5: Solve for x
    x = 230,384,975,136.58/547,120.48
  6. Step 6: Final answer
    x = 421,086.37

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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.