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Finding the Fourth Proportional to 340,116.40, 509,737.20 and 206,855.20

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Solution

The fourth proportional to 340,116.40, 509,737.20 and 206,855.20 is: 310,016.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,116.40 : 509,737.20 = 206,855.20 : x
  2. Step 2: Convert to fraction form
    340,116.40/509,737.20 = 206,855.20/x
  3. Step 3: Cross multiply
    340,116.40x = 509,737.20 × 206,855.20
  4. Step 4: Simplify right side
    340,116.40x = 105,441,790,453.44
  5. Step 5: Solve for x
    x = 105,441,790,453.44/340,116.40
  6. Step 6: Final answer
    x = 310,016.78

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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.