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Finding the Fourth Proportional to 416,458.32, 624,714.84 and 167,107.92

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Solution

The fourth proportional to 416,458.32, 624,714.84 and 167,107.92 is: 250,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,458.32 : 624,714.84 = 167,107.92 : x
  2. Step 2: Convert to fraction form
    416,458.32/624,714.84 = 167,107.92/x
  3. Step 3: Cross multiply
    416,458.32x = 624,714.84 × 167,107.92
  4. Step 4: Simplify right side
    416,458.32x = 104,394,797,505.53
  5. Step 5: Solve for x
    x = 104,394,797,505.53/416,458.32
  6. Step 6: Final answer
    x = 250,672.86

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