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Finding the Fourth Proportional to 270,469.75, 405,223.48 and 230,622.61

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Solution

The fourth proportional to 270,469.75, 405,223.48 and 230,622.61 is: 345,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,469.75 : 405,223.48 = 230,622.61 : x
  2. Step 2: Convert to fraction form
    270,469.75/405,223.48 = 230,622.61/x
  3. Step 3: Cross multiply
    270,469.75x = 405,223.48 × 230,622.61
  4. Step 4: Simplify right side
    270,469.75x = 93,453,696,590.88
  5. Step 5: Solve for x
    x = 93,453,696,590.88/270,469.75
  6. Step 6: Final answer
    x = 345,523.66

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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.