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Finding the Fourth Proportional to 299,694.66, 413,571.60 and 163,729.32

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Solution

The fourth proportional to 299,694.66, 413,571.60 and 163,729.32 is: 225,942.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,694.66 : 413,571.60 = 163,729.32 : x
  2. Step 2: Convert to fraction form
    299,694.66/413,571.60 = 163,729.32/x
  3. Step 3: Cross multiply
    299,694.66x = 413,571.60 × 163,729.32
  4. Step 4: Simplify right side
    299,694.66x = 67,713,796,839.31
  5. Step 5: Solve for x
    x = 67,713,796,839.31/299,694.66
  6. Step 6: Final answer
    x = 225,942.62

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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.