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Finding the Fourth Proportional to 416,237.94, 624,286.49 and 116,649.59

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Solution

The fourth proportional to 416,237.94, 624,286.49 and 116,649.59 is: 174,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,237.94 : 624,286.49 = 116,649.59 : x
  2. Step 2: Convert to fraction form
    416,237.94/624,286.49 = 116,649.59/x
  3. Step 3: Cross multiply
    416,237.94x = 624,286.49 × 116,649.59
  4. Step 4: Simplify right side
    416,237.94x = 72,822,759,396.36
  5. Step 5: Solve for x
    x = 72,822,759,396.36/416,237.94
  6. Step 6: Final answer
    x = 174,954.64

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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.