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Finding the Fourth Proportional to 306,076.38, 422,379.63 and 170,108.70

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Solution

The fourth proportional to 306,076.38, 422,379.63 and 170,108.70 is: 234,746.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,076.38 : 422,379.63 = 170,108.70 : x
  2. Step 2: Convert to fraction form
    306,076.38/422,379.63 = 170,108.70/x
  3. Step 3: Cross multiply
    306,076.38x = 422,379.63 × 170,108.70
  4. Step 4: Simplify right side
    306,076.38x = 71,850,449,765.78
  5. Step 5: Solve for x
    x = 71,850,449,765.78/306,076.38
  6. Step 6: Final answer
    x = 234,746.80

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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.