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Finding the Fourth Proportional to 3,286,857.80, 4,930,286.70 and 3,286,857.80

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Solution

The fourth proportional to 3,286,857.80, 4,930,286.70 and 3,286,857.80 is: 4,930,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286,857.80 : 4,930,286.70 = 3,286,857.80 : x
  2. Step 2: Convert to fraction form
    3,286,857.80/4,930,286.70 = 3,286,857.80/x
  3. Step 3: Cross multiply
    3,286,857.80x = 4,930,286.70 × 3,286,857.80
  4. Step 4: Simplify right side
    3,286,857.80x = 16,205,151,296,131.26
  5. Step 5: Solve for x
    x = 16,205,151,296,131.26/3,286,857.80
  6. Step 6: Final answer
    x = 4,930,286.70

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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.