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Finding the Fourth Proportional to 299,394.90, 413,161.31 and 170,333.04

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Solution

The fourth proportional to 299,394.90, 413,161.31 and 170,333.04 is: 235,057.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,394.90 : 413,161.31 = 170,333.04 : x
  2. Step 2: Convert to fraction form
    299,394.90/413,161.31 = 170,333.04/x
  3. Step 3: Cross multiply
    299,394.90x = 413,161.31 × 170,333.04
  4. Step 4: Simplify right side
    299,394.90x = 70,375,023,917.87
  5. Step 5: Solve for x
    x = 70,375,023,917.87/299,394.90
  6. Step 6: Final answer
    x = 235,057.52

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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.