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Finding the Fourth Proportional to 416,908.20, 624,440.70 and 322,674.60

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Solution

The fourth proportional to 416,908.20, 624,440.70 and 322,674.60 is: 483,298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,908.20 : 624,440.70 = 322,674.60 : x
  2. Step 2: Convert to fraction form
    416,908.20/624,440.70 = 322,674.60/x
  3. Step 3: Cross multiply
    416,908.20x = 624,440.70 × 322,674.60
  4. Step 4: Simplify right side
    416,908.20x = 201,491,153,096.22
  5. Step 5: Solve for x
    x = 201,491,153,096.22/416,908.20
  6. Step 6: Final answer
    x = 483,298.61

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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.