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Finding the Fourth Proportional to 416,360, 624,557.28 and 120,872

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Solution

The fourth proportional to 416,360, 624,557.28 and 120,872 is: 181,313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,360 : 624,557.28 = 120,872 : x
  2. Step 2: Convert to fraction form
    416,360/624,557.28 = 120,872/x
  3. Step 3: Cross multiply
    416,360x = 624,557.28 × 120,872
  4. Step 4: Simplify right side
    416,360x = 75,491,487,548.16
  5. Step 5: Solve for x
    x = 75,491,487,548.16/416,360
  6. Step 6: Final answer
    x = 181,313.02

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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.