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Finding the Fourth Proportional to 416,517.88, 624,801.04 and 117,021.81

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Solution

The fourth proportional to 416,517.88, 624,801.04 and 117,021.81 is: 175,539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,517.88 : 624,801.04 = 117,021.81 : x
  2. Step 2: Convert to fraction form
    416,517.88/624,801.04 = 117,021.81/x
  3. Step 3: Cross multiply
    416,517.88x = 624,801.04 × 117,021.81
  4. Step 4: Simplify right side
    416,517.88x = 73,115,345,466.68
  5. Step 5: Solve for x
    x = 73,115,345,466.68/416,517.88
  6. Step 6: Final answer
    x = 175,539.51

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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.