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Finding the Fourth Proportional to 299,791.78, 413,736.24 and 170,735.71

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Solution

The fourth proportional to 299,791.78, 413,736.24 and 170,735.71 is: 235,628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,791.78 : 413,736.24 = 170,735.71 : x
  2. Step 2: Convert to fraction form
    299,791.78/413,736.24 = 170,735.71/x
  3. Step 3: Cross multiply
    299,791.78x = 413,736.24 × 170,735.71
  4. Step 4: Simplify right side
    299,791.78x = 70,639,550,689.13
  5. Step 5: Solve for x
    x = 70,639,550,689.13/299,791.78
  6. Step 6: Final answer
    x = 235,628.71

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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.