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Finding the Fourth Proportional to 412,078.14, 568,681.83 and 230,797.71

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Solution

The fourth proportional to 412,078.14, 568,681.83 and 230,797.71 is: 318,508.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,078.14 : 568,681.83 = 230,797.71 : x
  2. Step 2: Convert to fraction form
    412,078.14/568,681.83 = 230,797.71/x
  3. Step 3: Cross multiply
    412,078.14x = 568,681.83 × 230,797.71
  4. Step 4: Simplify right side
    412,078.14x = 131,250,464,082.61
  5. Step 5: Solve for x
    x = 131,250,464,082.61/412,078.14
  6. Step 6: Final answer
    x = 318,508.68

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1.5x scale

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.