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Finding the Fourth Proportional to 416,595, 624,999.06 and 121,107

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Solution

The fourth proportional to 416,595, 624,999.06 and 121,107 is: 181,691.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,595 : 624,999.06 = 121,107 : x
  2. Step 2: Convert to fraction form
    416,595/624,999.06 = 121,107/x
  3. Step 3: Cross multiply
    416,595x = 624,999.06 × 121,107
  4. Step 4: Simplify right side
    416,595x = 75,691,761,159.42
  5. Step 5: Solve for x
    x = 75,691,761,159.42/416,595
  6. Step 6: Final answer
    x = 181,691.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.