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Finding the Fourth Proportional to 416,245.30, 624,258.60 and 179,535.36

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Solution

The fourth proportional to 416,245.30, 624,258.60 and 179,535.36 is: 269,255.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,245.30 : 624,258.60 = 179,535.36 : x
  2. Step 2: Convert to fraction form
    416,245.30/624,258.60 = 179,535.36/x
  3. Step 3: Cross multiply
    416,245.30x = 624,258.60 × 179,535.36
  4. Step 4: Simplify right side
    416,245.30x = 112,076,489,362.80
  5. Step 5: Solve for x
    x = 112,076,489,362.80/416,245.30
  6. Step 6: Final answer
    x = 269,255.87

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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.