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Finding the Fourth Proportional to 301,910.58, 416,573.01 and 167,771.70

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Solution

The fourth proportional to 301,910.58, 416,573.01 and 167,771.70 is: 231,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,910.58 : 416,573.01 = 167,771.70 : x
  2. Step 2: Convert to fraction form
    301,910.58/416,573.01 = 167,771.70/x
  3. Step 3: Cross multiply
    301,910.58x = 416,573.01 × 167,771.70
  4. Step 4: Simplify right side
    301,910.58x = 69,889,162,061.82
  5. Step 5: Solve for x
    x = 69,889,162,061.82/301,910.58
  6. Step 6: Final answer
    x = 231,489.61

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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.