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Finding the Fourth Proportional to 406,076.09, 609,712.90 and 226,512.34

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Solution

The fourth proportional to 406,076.09, 609,712.90 and 226,512.34 is: 340,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,076.09 : 609,712.90 = 226,512.34 : x
  2. Step 2: Convert to fraction form
    406,076.09/609,712.90 = 226,512.34/x
  3. Step 3: Cross multiply
    406,076.09x = 609,712.90 × 226,512.34
  4. Step 4: Simplify right side
    406,076.09x = 138,107,493,616.62
  5. Step 5: Solve for x
    x = 138,107,493,616.62/406,076.09
  6. Step 6: Final answer
    x = 340,102.50

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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.