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Finding the Fourth Proportional to 416,243.49, 624,382.65 and 131,927.82

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Solution

The fourth proportional to 416,243.49, 624,382.65 and 131,927.82 is: 197,897.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,243.49 : 624,382.65 = 131,927.82 : x
  2. Step 2: Convert to fraction form
    416,243.49/624,382.65 = 131,927.82/x
  3. Step 3: Cross multiply
    416,243.49x = 624,382.65 × 131,927.82
  4. Step 4: Simplify right side
    416,243.49x = 82,373,441,860.32
  5. Step 5: Solve for x
    x = 82,373,441,860.32/416,243.49
  6. Step 6: Final answer
    x = 197,897.25

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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.