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Finding the Fourth Proportional to 295,144.26, 407,297.20 and 167,819.85

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Solution

The fourth proportional to 295,144.26, 407,297.20 and 167,819.85 is: 231,590.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,144.26 : 407,297.20 = 167,819.85 : x
  2. Step 2: Convert to fraction form
    295,144.26/407,297.20 = 167,819.85/x
  3. Step 3: Cross multiply
    295,144.26x = 407,297.20 × 167,819.85
  4. Step 4: Simplify right side
    295,144.26x = 68,352,555,009.42
  5. Step 5: Solve for x
    x = 68,352,555,009.42/295,144.26
  6. Step 6: Final answer
    x = 231,590.32

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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.