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Finding the Fourth Proportional to 463,020.30, 694,530.45 and 284,949.90

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Solution

The fourth proportional to 463,020.30, 694,530.45 and 284,949.90 is: 427,424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,020.30 : 694,530.45 = 284,949.90 : x
  2. Step 2: Convert to fraction form
    463,020.30/694,530.45 = 284,949.90/x
  3. Step 3: Cross multiply
    463,020.30x = 694,530.45 × 284,949.90
  4. Step 4: Simplify right side
    463,020.30x = 197,906,382,274.46
  5. Step 5: Solve for x
    x = 197,906,382,274.46/463,020.30
  6. Step 6: Final answer
    x = 427,424.85

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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.