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Finding the Fourth Proportional to 412,002.81, 568,621.49 and 297,651.42

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Solution

The fourth proportional to 412,002.81, 568,621.49 and 297,651.42 is: 410,800.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,002.81 : 568,621.49 = 297,651.42 : x
  2. Step 2: Convert to fraction form
    412,002.81/568,621.49 = 297,651.42/x
  3. Step 3: Cross multiply
    412,002.81x = 568,621.49 × 297,651.42
  4. Step 4: Simplify right side
    412,002.81x = 169,250,992,452.76
  5. Step 5: Solve for x
    x = 169,250,992,452.76/412,002.81
  6. Step 6: Final answer
    x = 410,800.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.