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Finding the Fourth Proportional to 416,469.48, 624,729.72 and 116,974.44

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Solution

The fourth proportional to 416,469.48, 624,729.72 and 116,974.44 is: 175,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,469.48 : 624,729.72 = 116,974.44 : x
  2. Step 2: Convert to fraction form
    416,469.48/624,729.72 = 116,974.44/x
  3. Step 3: Cross multiply
    416,469.48x = 624,729.72 × 116,974.44
  4. Step 4: Simplify right side
    416,469.48x = 73,077,409,148.36
  5. Step 5: Solve for x
    x = 73,077,409,148.36/416,469.48
  6. Step 6: Final answer
    x = 175,468.82

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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.