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Finding the Fourth Proportional to 441,812.30, 662,912.85 and 205,033.10

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Solution

The fourth proportional to 441,812.30, 662,912.85 and 205,033.10 is: 307,639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,812.30 : 662,912.85 = 205,033.10 : x
  2. Step 2: Convert to fraction form
    441,812.30/662,912.85 = 205,033.10/x
  3. Step 3: Cross multiply
    441,812.30x = 662,912.85 × 205,033.10
  4. Step 4: Simplify right side
    441,812.30x = 135,919,076,665.34
  5. Step 5: Solve for x
    x = 135,919,076,665.34/441,812.30
  6. Step 6: Final answer
    x = 307,639.87

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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.