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Finding the Fourth Proportional to 303,327.60, 454,772.70 and 198,205.80

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Solution

The fourth proportional to 303,327.60, 454,772.70 and 198,205.80 is: 297,165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,327.60 : 454,772.70 = 198,205.80 : x
  2. Step 2: Convert to fraction form
    303,327.60/454,772.70 = 198,205.80/x
  3. Step 3: Cross multiply
    303,327.60x = 454,772.70 × 198,205.80
  4. Step 4: Simplify right side
    303,327.60x = 90,138,586,821.66
  5. Step 5: Solve for x
    x = 90,138,586,821.66/303,327.60
  6. Step 6: Final answer
    x = 297,165.79

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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.