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Finding the Fourth Proportional to 285,793.67, 394,427.75 and 164,967.39

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Solution

The fourth proportional to 285,793.67, 394,427.75 and 164,967.39 is: 227,673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,793.67 : 394,427.75 = 164,967.39 : x
  2. Step 2: Convert to fraction form
    285,793.67/394,427.75 = 164,967.39/x
  3. Step 3: Cross multiply
    285,793.67x = 394,427.75 × 164,967.39
  4. Step 4: Simplify right side
    285,793.67x = 65,067,715,636.24
  5. Step 5: Solve for x
    x = 65,067,715,636.24/285,793.67
  6. Step 6: Final answer
    x = 227,673.74

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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.