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Finding the Fourth Proportional to 271,731.20, 407,596.80 and 171,566.60

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Solution

The fourth proportional to 271,731.20, 407,596.80 and 171,566.60 is: 257,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,731.20 : 407,596.80 = 171,566.60 : x
  2. Step 2: Convert to fraction form
    271,731.20/407,596.80 = 171,566.60/x
  3. Step 3: Cross multiply
    271,731.20x = 407,596.80 × 171,566.60
  4. Step 4: Simplify right side
    271,731.20x = 69,929,997,146.88
  5. Step 5: Solve for x
    x = 69,929,997,146.88/271,731.20
  6. Step 6: Final answer
    x = 257,349.90

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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.