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Finding the Fourth Proportional to 416,280.80, 624,670.31 and 179,623.48

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Solution

The fourth proportional to 416,280.80, 624,670.31 and 179,623.48 is: 269,542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,280.80 : 624,670.31 = 179,623.48 : x
  2. Step 2: Convert to fraction form
    416,280.80/624,670.31 = 179,623.48/x
  3. Step 3: Cross multiply
    416,280.80x = 624,670.31 × 179,623.48
  4. Step 4: Simplify right side
    416,280.80x = 112,205,454,934.88
  5. Step 5: Solve for x
    x = 112,205,454,934.88/416,280.80
  6. Step 6: Final answer
    x = 269,542.71

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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.