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Finding the Fourth Proportional to 416,546.38, 624,398.79 and 164,004.07

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Solution

The fourth proportional to 416,546.38, 624,398.79 and 164,004.07 is: 245,840.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,546.38 : 624,398.79 = 164,004.07 : x
  2. Step 2: Convert to fraction form
    416,546.38/624,398.79 = 164,004.07/x
  3. Step 3: Cross multiply
    416,546.38x = 624,398.79 × 164,004.07
  4. Step 4: Simplify right side
    416,546.38x = 102,403,942,863.08
  5. Step 5: Solve for x
    x = 102,403,942,863.08/416,546.38
  6. Step 6: Final answer
    x = 245,840.43

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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.