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Finding the Fourth Proportional to 271,417.01, 406,928.69 and 182,449.85

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Solution

The fourth proportional to 271,417.01, 406,928.69 and 182,449.85 is: 273,542.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,417.01 : 406,928.69 = 182,449.85 : x
  2. Step 2: Convert to fraction form
    271,417.01/406,928.69 = 182,449.85/x
  3. Step 3: Cross multiply
    271,417.01x = 406,928.69 × 182,449.85
  4. Step 4: Simplify right side
    271,417.01x = 74,244,078,556.27
  5. Step 5: Solve for x
    x = 74,244,078,556.27/271,417.01
  6. Step 6: Final answer
    x = 273,542.46

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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.