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Finding the Fourth Proportional to 463,399.36, 694,602.24 and 303,414.64

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Solution

The fourth proportional to 463,399.36, 694,602.24 and 303,414.64 is: 454,796.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,399.36 : 694,602.24 = 303,414.64 : x
  2. Step 2: Convert to fraction form
    463,399.36/694,602.24 = 303,414.64/x
  3. Step 3: Cross multiply
    463,399.36x = 694,602.24 × 303,414.64
  4. Step 4: Simplify right side
    463,399.36x = 210,752,488,592.79
  5. Step 5: Solve for x
    x = 210,752,488,592.79/463,399.36
  6. Step 6: Final answer
    x = 454,796.68

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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.