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Finding the Fourth Proportional to 416,834.56, 624,596.16 and 322,295.68

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Solution

The fourth proportional to 416,834.56, 624,596.16 and 322,295.68 is: 482,936.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,834.56 : 624,596.16 = 322,295.68 : x
  2. Step 2: Convert to fraction form
    416,834.56/624,596.16 = 322,295.68/x
  3. Step 3: Cross multiply
    416,834.56x = 624,596.16 × 322,295.68
  4. Step 4: Simplify right side
    416,834.56x = 201,304,644,112.59
  5. Step 5: Solve for x
    x = 201,304,644,112.59/416,834.56
  6. Step 6: Final answer
    x = 482,936.55

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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.