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Finding the Fourth Proportional to 455,229.20, 682,843.80 and 278,082.20

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Solution

The fourth proportional to 455,229.20, 682,843.80 and 278,082.20 is: 417,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,229.20 : 682,843.80 = 278,082.20 : x
  2. Step 2: Convert to fraction form
    455,229.20/682,843.80 = 278,082.20/x
  3. Step 3: Cross multiply
    455,229.20x = 682,843.80 × 278,082.20
  4. Step 4: Simplify right side
    455,229.20x = 189,886,706,160.36
  5. Step 5: Solve for x
    x = 189,886,706,160.36/455,229.20
  6. Step 6: Final answer
    x = 417,123.30

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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.