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Finding the Fourth Proportional to 416,546.63, 624,399.16 and 164,004.33

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Solution

The fourth proportional to 416,546.63, 624,399.16 and 164,004.33 is: 245,840.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,546.63 : 624,399.16 = 164,004.33 : x
  2. Step 2: Convert to fraction form
    416,546.63/624,399.16 = 164,004.33/x
  3. Step 3: Cross multiply
    416,546.63x = 624,399.16 × 164,004.33
  4. Step 4: Simplify right side
    416,546.63x = 102,404,165,888.36
  5. Step 5: Solve for x
    x = 102,404,165,888.36/416,546.63
  6. Step 6: Final answer
    x = 245,840.82

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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.