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Finding the Fourth Proportional to 270,721.62, 406,481.63 and 151,012.47

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Solution

The fourth proportional to 270,721.62, 406,481.63 and 151,012.47 is: 226,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,721.62 : 406,481.63 = 151,012.47 : x
  2. Step 2: Convert to fraction form
    270,721.62/406,481.63 = 151,012.47/x
  3. Step 3: Cross multiply
    270,721.62x = 406,481.63 × 151,012.47
  4. Step 4: Simplify right side
    270,721.62x = 61,383,794,200.86
  5. Step 5: Solve for x
    x = 61,383,794,200.86/270,721.62
  6. Step 6: Final answer
    x = 226,741.38

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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.