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Finding the Fourth Proportional to 416,107.43, 624,161.24 and 100,564.30

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Solution

The fourth proportional to 416,107.43, 624,161.24 and 100,564.30 is: 150,846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,107.43 : 624,161.24 = 100,564.30 : x
  2. Step 2: Convert to fraction form
    416,107.43/624,161.24 = 100,564.30/x
  3. Step 3: Cross multiply
    416,107.43x = 624,161.24 × 100,564.30
  4. Step 4: Simplify right side
    416,107.43x = 62,768,334,564.10
  5. Step 5: Solve for x
    x = 62,768,334,564.10/416,107.43
  6. Step 6: Final answer
    x = 150,846.47

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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.