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Finding the Fourth Proportional to 299,891.28, 413,842.24 and 163,925.56

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Solution

The fourth proportional to 299,891.28, 413,842.24 and 163,925.56 is: 226,213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,891.28 : 413,842.24 = 163,925.56 : x
  2. Step 2: Convert to fraction form
    299,891.28/413,842.24 = 163,925.56/x
  3. Step 3: Cross multiply
    299,891.28x = 413,842.24 × 163,925.56
  4. Step 4: Simplify right side
    299,891.28x = 67,839,320,943.65
  5. Step 5: Solve for x
    x = 67,839,320,943.65/299,891.28
  6. Step 6: Final answer
    x = 226,213.05

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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.