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Finding the Fourth Proportional to 299,917.78, 413,889.29 and 170,854.34

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Solution

The fourth proportional to 299,917.78, 413,889.29 and 170,854.34 is: 235,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,917.78 : 413,889.29 = 170,854.34 : x
  2. Step 2: Convert to fraction form
    299,917.78/413,889.29 = 170,854.34/x
  3. Step 3: Cross multiply
    299,917.78x = 413,889.29 × 170,854.34
  4. Step 4: Simplify right side
    299,917.78x = 70,714,781,476.02
  5. Step 5: Solve for x
    x = 70,714,781,476.02/299,917.78
  6. Step 6: Final answer
    x = 235,780.56

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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.