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Finding the Fourth Proportional to 271,967.40, 407,951.10 and 231,726.60

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Solution

The fourth proportional to 271,967.40, 407,951.10 and 231,726.60 is: 347,589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,967.40 : 407,951.10 = 231,726.60 : x
  2. Step 2: Convert to fraction form
    271,967.40/407,951.10 = 231,726.60/x
  3. Step 3: Cross multiply
    271,967.40x = 407,951.10 × 231,726.60
  4. Step 4: Simplify right side
    271,967.40x = 94,533,121,369.26
  5. Step 5: Solve for x
    x = 94,533,121,369.26/271,967.40
  6. Step 6: Final answer
    x = 347,589.90

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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.