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Finding the Fourth Proportional to 463,568.83, 694,107.40 and 294,172

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Solution

The fourth proportional to 463,568.83, 694,107.40 and 294,172 is: 440,467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,568.83 : 694,107.40 = 294,172 : x
  2. Step 2: Convert to fraction form
    463,568.83/694,107.40 = 294,172/x
  3. Step 3: Cross multiply
    463,568.83x = 694,107.40 × 294,172
  4. Step 4: Simplify right side
    463,568.83x = 204,186,962,072.80
  5. Step 5: Solve for x
    x = 204,186,962,072.80/463,568.83
  6. Step 6: Final answer
    x = 440,467.41

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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.