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Finding the Fourth Proportional to 463,586.72, 694,496.90 and 264,044.84

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Solution

The fourth proportional to 463,586.72, 694,496.90 and 264,044.84 is: 395,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,586.72 : 694,496.90 = 264,044.84 : x
  2. Step 2: Convert to fraction form
    463,586.72/694,496.90 = 264,044.84/x
  3. Step 3: Cross multiply
    463,586.72x = 694,496.90 × 264,044.84
  4. Step 4: Simplify right side
    463,586.72x = 183,378,320,028.62
  5. Step 5: Solve for x
    x = 183,378,320,028.62/463,586.72
  6. Step 6: Final answer
    x = 395,564.23

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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.