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Finding the Fourth Proportional to 342,261.57, 513,173.63 and 164,414.73

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Solution

The fourth proportional to 342,261.57, 513,173.63 and 164,414.73 is: 246,517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,261.57 : 513,173.63 = 164,414.73 : x
  2. Step 2: Convert to fraction form
    342,261.57/513,173.63 = 164,414.73/x
  3. Step 3: Cross multiply
    342,261.57x = 513,173.63 × 164,414.73
  4. Step 4: Simplify right side
    342,261.57x = 84,373,302,997.50
  5. Step 5: Solve for x
    x = 84,373,302,997.50/342,261.57
  6. Step 6: Final answer
    x = 246,517.02

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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.