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Finding the Fourth Proportional to 299,717.20, 413,668.79 and 178,797.97

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Solution

The fourth proportional to 299,717.20, 413,668.79 and 178,797.97 is: 246,776.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,717.20 : 413,668.79 = 178,797.97 : x
  2. Step 2: Convert to fraction form
    299,717.20/413,668.79 = 178,797.97/x
  3. Step 3: Cross multiply
    299,717.20x = 413,668.79 × 178,797.97
  4. Step 4: Simplify right side
    299,717.20x = 73,963,139,904.36
  5. Step 5: Solve for x
    x = 73,963,139,904.36/299,717.20
  6. Step 6: Final answer
    x = 246,776.43

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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.