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Finding the Fourth Proportional to 271,715.03, 407,591.27 and 113,784.47

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Solution

The fourth proportional to 271,715.03, 407,591.27 and 113,784.47 is: 170,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,715.03 : 407,591.27 = 113,784.47 : x
  2. Step 2: Convert to fraction form
    271,715.03/407,591.27 = 113,784.47/x
  3. Step 3: Cross multiply
    271,715.03x = 407,591.27 × 113,784.47
  4. Step 4: Simplify right side
    271,715.03x = 46,377,556,633.58
  5. Step 5: Solve for x
    x = 46,377,556,633.58/271,715.03
  6. Step 6: Final answer
    x = 170,684.55

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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.