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Finding the Fourth Proportional to 331,668.17, 457,714.31 and 188,452.47

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Solution

The fourth proportional to 331,668.17, 457,714.31 and 188,452.47 is: 260,071.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,668.17 : 457,714.31 = 188,452.47 : x
  2. Step 2: Convert to fraction form
    331,668.17/457,714.31 = 188,452.47/x
  3. Step 3: Cross multiply
    331,668.17x = 457,714.31 × 188,452.47
  4. Step 4: Simplify right side
    331,668.17x = 86,257,392,273.85
  5. Step 5: Solve for x
    x = 86,257,392,273.85/331,668.17
  6. Step 6: Final answer
    x = 260,071.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.