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Finding the Fourth Proportional to 547,041.73, 820,929.03 and 192,056.80

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Solution

The fourth proportional to 547,041.73, 820,929.03 and 192,056.80 is: 288,213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,041.73 : 820,929.03 = 192,056.80 : x
  2. Step 2: Convert to fraction form
    547,041.73/820,929.03 = 192,056.80/x
  3. Step 3: Cross multiply
    547,041.73x = 820,929.03 × 192,056.80
  4. Step 4: Simplify right side
    547,041.73x = 157,665,002,528.90
  5. Step 5: Solve for x
    x = 157,665,002,528.90/547,041.73
  6. Step 6: Final answer
    x = 288,213.85

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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.