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Finding the Fourth Proportional to 416,468.80, 624,624.39 and 203,022.46

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Solution

The fourth proportional to 416,468.80, 624,624.39 and 203,022.46 is: 304,495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,468.80 : 624,624.39 = 203,022.46 : x
  2. Step 2: Convert to fraction form
    416,468.80/624,624.39 = 203,022.46/x
  3. Step 3: Cross multiply
    416,468.80x = 624,624.39 × 203,022.46
  4. Step 4: Simplify right side
    416,468.80x = 126,812,780,233.80
  5. Step 5: Solve for x
    x = 126,812,780,233.80/416,468.80
  6. Step 6: Final answer
    x = 304,495.27

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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.