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Finding the Fourth Proportional to 303,540.80, 455,311.20 and 185,442.80

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Solution

The fourth proportional to 303,540.80, 455,311.20 and 185,442.80 is: 278,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,540.80 : 455,311.20 = 185,442.80 : x
  2. Step 2: Convert to fraction form
    303,540.80/455,311.20 = 185,442.80/x
  3. Step 3: Cross multiply
    303,540.80x = 455,311.20 × 185,442.80
  4. Step 4: Simplify right side
    303,540.80x = 84,434,183,799.36
  5. Step 5: Solve for x
    x = 84,434,183,799.36/303,540.80
  6. Step 6: Final answer
    x = 278,164.20

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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.