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Finding the Fourth Proportional to 467,806.26, 701,764.32 and 164,107.62

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Solution

The fourth proportional to 467,806.26, 701,764.32 and 164,107.62 is: 246,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,806.26 : 701,764.32 = 164,107.62 : x
  2. Step 2: Convert to fraction form
    467,806.26/701,764.32 = 164,107.62/x
  3. Step 3: Cross multiply
    467,806.26x = 701,764.32 × 164,107.62
  4. Step 4: Simplify right side
    467,806.26x = 115,164,872,356.12
  5. Step 5: Solve for x
    x = 115,164,872,356.12/467,806.26
  6. Step 6: Final answer
    x = 246,180.70

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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.