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Finding the Fourth Proportional to 300,835.38, 415,164.34 and 171,794.92

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Solution

The fourth proportional to 300,835.38, 415,164.34 and 171,794.92 is: 237,083.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,835.38 : 415,164.34 = 171,794.92 : x
  2. Step 2: Convert to fraction form
    300,835.38/415,164.34 = 171,794.92/x
  3. Step 3: Cross multiply
    300,835.38x = 415,164.34 × 171,794.92
  4. Step 4: Simplify right side
    300,835.38x = 71,323,124,577.15
  5. Step 5: Solve for x
    x = 71,323,124,577.15/300,835.38
  6. Step 6: Final answer
    x = 237,083.57

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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.