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Finding the Fourth Proportional to 416,266.50, 624,377.83 and 116,767.78

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Solution

The fourth proportional to 416,266.50, 624,377.83 and 116,767.78 is: 175,145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,266.50 : 624,377.83 = 116,767.78 : x
  2. Step 2: Convert to fraction form
    416,266.50/624,377.83 = 116,767.78/x
  3. Step 3: Cross multiply
    416,266.50x = 624,377.83 × 116,767.78
  4. Step 4: Simplify right side
    416,266.50x = 72,907,213,090.32
  5. Step 5: Solve for x
    x = 72,907,213,090.32/416,266.50
  6. Step 6: Final answer
    x = 175,145.52

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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.