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Finding the Fourth Proportional to 271,937.70, 407,906.55 and 172,538.55

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Solution

The fourth proportional to 271,937.70, 407,906.55 and 172,538.55 is: 258,807.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,937.70 : 407,906.55 = 172,538.55 : x
  2. Step 2: Convert to fraction form
    271,937.70/407,906.55 = 172,538.55/x
  3. Step 3: Cross multiply
    271,937.70x = 407,906.55 × 172,538.55
  4. Step 4: Simplify right side
    271,937.70x = 70,379,604,672.50
  5. Step 5: Solve for x
    x = 70,379,604,672.50/271,937.70
  6. Step 6: Final answer
    x = 258,807.83

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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.