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Finding the Fourth Proportional to 547,037.73, 820,923.03 and 192,052.80

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Solution

The fourth proportional to 547,037.73, 820,923.03 and 192,052.80 is: 288,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,037.73 : 820,923.03 = 192,052.80 : x
  2. Step 2: Convert to fraction form
    547,037.73/820,923.03 = 192,052.80/x
  3. Step 3: Cross multiply
    547,037.73x = 820,923.03 × 192,052.80
  4. Step 4: Simplify right side
    547,037.73x = 157,660,566,495.98
  5. Step 5: Solve for x
    x = 157,660,566,495.98/547,037.73
  6. Step 6: Final answer
    x = 288,207.85

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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.