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Finding the Fourth Proportional to 300,992.37, 415,367.64 and 165,032.07

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Solution

The fourth proportional to 300,992.37, 415,367.64 and 165,032.07 is: 227,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,992.37 : 415,367.64 = 165,032.07 : x
  2. Step 2: Convert to fraction form
    300,992.37/415,367.64 = 165,032.07/x
  3. Step 3: Cross multiply
    300,992.37x = 415,367.64 × 165,032.07
  4. Step 4: Simplify right side
    300,992.37x = 68,548,981,440.21
  5. Step 5: Solve for x
    x = 68,548,981,440.21/300,992.37
  6. Step 6: Final answer
    x = 227,743.25

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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.