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Finding the Fourth Proportional to 547,254.60, 820,963.98 and 192,206.04

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Solution

The fourth proportional to 547,254.60, 820,963.98 and 192,206.04 is: 288,337.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,254.60 : 820,963.98 = 192,206.04 : x
  2. Step 2: Convert to fraction form
    547,254.60/820,963.98 = 192,206.04/x
  3. Step 3: Cross multiply
    547,254.60x = 820,963.98 × 192,206.04
  4. Step 4: Simplify right side
    547,254.60x = 157,794,235,578.44
  5. Step 5: Solve for x
    x = 157,794,235,578.44/547,254.60
  6. Step 6: Final answer
    x = 288,337.89

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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.