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Finding the Fourth Proportional to 416,517.25, 624,800.09 and 117,021.18

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Solution

The fourth proportional to 416,517.25, 624,800.09 and 117,021.18 is: 175,538.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,517.25 : 624,800.09 = 117,021.18 : x
  2. Step 2: Convert to fraction form
    416,517.25/624,800.09 = 117,021.18/x
  3. Step 3: Cross multiply
    416,517.25x = 624,800.09 × 117,021.18
  4. Step 4: Simplify right side
    416,517.25x = 73,114,843,795.91
  5. Step 5: Solve for x
    x = 73,114,843,795.91/416,517.25
  6. Step 6: Final answer
    x = 175,538.57

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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.