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Finding the Fourth Proportional to 416,517.38, 624,800.29 and 117,021.31

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Solution

The fourth proportional to 416,517.38, 624,800.29 and 117,021.31 is: 175,538.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,517.38 : 624,800.29 = 117,021.31 : x
  2. Step 2: Convert to fraction form
    416,517.38/624,800.29 = 117,021.31/x
  3. Step 3: Cross multiply
    416,517.38x = 624,800.29 × 117,021.31
  4. Step 4: Simplify right side
    416,517.38x = 73,114,945,300.18
  5. Step 5: Solve for x
    x = 73,114,945,300.18/416,517.38
  6. Step 6: Final answer
    x = 175,538.76

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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.