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Finding the Fourth Proportional to 270,906.18, 406,006 and 150,958.10

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Solution

The fourth proportional to 270,906.18, 406,006 and 150,958.10 is: 226,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,906.18 : 406,006 = 150,958.10 : x
  2. Step 2: Convert to fraction form
    270,906.18/406,006 = 150,958.10/x
  3. Step 3: Cross multiply
    270,906.18x = 406,006 × 150,958.10
  4. Step 4: Simplify right side
    270,906.18x = 61,289,894,348.60
  5. Step 5: Solve for x
    x = 61,289,894,348.60/270,906.18
  6. Step 6: Final answer
    x = 226,240.30

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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.