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Finding the Fourth Proportional to 416,069.31, 624,121.73 and 163,404.56

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Solution

The fourth proportional to 416,069.31, 624,121.73 and 163,404.56 is: 245,113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,069.31 : 624,121.73 = 163,404.56 : x
  2. Step 2: Convert to fraction form
    416,069.31/624,121.73 = 163,404.56/x
  3. Step 3: Cross multiply
    416,069.31x = 624,121.73 × 163,404.56
  4. Step 4: Simplify right side
    416,069.31x = 101,984,332,739.46
  5. Step 5: Solve for x
    x = 101,984,332,739.46/416,069.31
  6. Step 6: Final answer
    x = 245,113.81

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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.