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Finding the Fourth Proportional to 305,149.26, 421,105.24 and 169,179.74

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Solution

The fourth proportional to 305,149.26, 421,105.24 and 169,179.74 is: 233,467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,149.26 : 421,105.24 = 169,179.74 : x
  2. Step 2: Convert to fraction form
    305,149.26/421,105.24 = 169,179.74/x
  3. Step 3: Cross multiply
    305,149.26x = 421,105.24 × 169,179.74
  4. Step 4: Simplify right side
    305,149.26x = 71,242,475,015.84
  5. Step 5: Solve for x
    x = 71,242,475,015.84/305,149.26
  6. Step 6: Final answer
    x = 233,467.63

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1.5x scale

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.