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Finding the Fourth Proportional to 467,817.57, 701,781.21 and 164,118.87

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Solution

The fourth proportional to 467,817.57, 701,781.21 and 164,118.87 is: 246,197.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,817.57 : 701,781.21 = 164,118.87 : x
  2. Step 2: Convert to fraction form
    467,817.57/701,781.21 = 164,118.87/x
  3. Step 3: Cross multiply
    467,817.57x = 701,781.21 × 164,118.87
  4. Step 4: Simplify right side
    467,817.57x = 115,175,539,172.43
  5. Step 5: Solve for x
    x = 115,175,539,172.43/467,817.57
  6. Step 6: Final answer
    x = 246,197.55

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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.