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Finding the Fourth Proportional to 537,682.66, 806,895.78 and 222,142.30

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Solution

The fourth proportional to 537,682.66, 806,895.78 and 222,142.30 is: 333,367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,682.66 : 806,895.78 = 222,142.30 : x
  2. Step 2: Convert to fraction form
    537,682.66/806,895.78 = 222,142.30/x
  3. Step 3: Cross multiply
    537,682.66x = 806,895.78 × 222,142.30
  4. Step 4: Simplify right side
    537,682.66x = 179,245,684,429.49
  5. Step 5: Solve for x
    x = 179,245,684,429.49/537,682.66
  6. Step 6: Final answer
    x = 333,367.05

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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.