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Finding the Fourth Proportional to 299,468.64, 413,453.26 and 190,634.41

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Solution

The fourth proportional to 299,468.64, 413,453.26 and 190,634.41 is: 263,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,468.64 : 413,453.26 = 190,634.41 : x
  2. Step 2: Convert to fraction form
    299,468.64/413,453.26 = 190,634.41/x
  3. Step 3: Cross multiply
    299,468.64x = 413,453.26 × 190,634.41
  4. Step 4: Simplify right side
    299,468.64x = 78,818,419,037.79
  5. Step 5: Solve for x
    x = 78,818,419,037.79/299,468.64
  6. Step 6: Final answer
    x = 263,194.23

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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.