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Finding the Fourth Proportional to 416,471.12, 624,052.56 and 321,932.96

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Solution

The fourth proportional to 416,471.12, 624,052.56 and 321,932.96 is: 482,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,471.12 : 624,052.56 = 321,932.96 : x
  2. Step 2: Convert to fraction form
    416,471.12/624,052.56 = 321,932.96/x
  3. Step 3: Cross multiply
    416,471.12x = 624,052.56 × 321,932.96
  4. Step 4: Simplify right side
    416,471.12x = 200,903,087,836.38
  5. Step 5: Solve for x
    x = 200,903,087,836.38/416,471.12
  6. Step 6: Final answer
    x = 482,393.80

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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.