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Finding the Fourth Proportional to 419,794.64, 629,524.92 and 153,494.48

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Solution

The fourth proportional to 419,794.64, 629,524.92 and 153,494.48 is: 230,180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,794.64 : 629,524.92 = 153,494.48 : x
  2. Step 2: Convert to fraction form
    419,794.64/629,524.92 = 153,494.48/x
  3. Step 3: Cross multiply
    419,794.64x = 629,524.92 × 153,494.48
  4. Step 4: Simplify right side
    419,794.64x = 96,628,600,242.44
  5. Step 5: Solve for x
    x = 96,628,600,242.44/419,794.64
  6. Step 6: Final answer
    x = 230,180.64

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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.