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Finding the Fourth Proportional to 463,089.88, 694,717.44 and 163,744.26

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Solution

The fourth proportional to 463,089.88, 694,717.44 and 163,744.26 is: 245,645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,089.88 : 694,717.44 = 163,744.26 : x
  2. Step 2: Convert to fraction form
    463,089.88/694,717.44 = 163,744.26/x
  3. Step 3: Cross multiply
    463,089.88x = 694,717.44 × 163,744.26
  4. Step 4: Simplify right side
    463,089.88x = 113,755,993,121.89
  5. Step 5: Solve for x
    x = 113,755,993,121.89/463,089.88
  6. Step 6: Final answer
    x = 245,645.60

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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.