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Finding the Fourth Proportional to 416,362, 624,560.28 and 120,874

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Solution

The fourth proportional to 416,362, 624,560.28 and 120,874 is: 181,316.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,362 : 624,560.28 = 120,874 : x
  2. Step 2: Convert to fraction form
    416,362/624,560.28 = 120,874/x
  3. Step 3: Cross multiply
    416,362x = 624,560.28 × 120,874
  4. Step 4: Simplify right side
    416,362x = 75,493,099,284.72
  5. Step 5: Solve for x
    x = 75,493,099,284.72/416,362
  6. Step 6: Final answer
    x = 181,316.02

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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.