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Finding the Fourth Proportional to 543,006.87, 814,511.30 and 222,935.86

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Solution

The fourth proportional to 543,006.87, 814,511.30 and 222,935.86 is: 334,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,006.87 : 814,511.30 = 222,935.86 : x
  2. Step 2: Convert to fraction form
    543,006.87/814,511.30 = 222,935.86/x
  3. Step 3: Cross multiply
    543,006.87x = 814,511.30 × 222,935.86
  4. Step 4: Simplify right side
    543,006.87x = 181,583,777,145.22
  5. Step 5: Solve for x
    x = 181,583,777,145.22/543,006.87
  6. Step 6: Final answer
    x = 334,404.20

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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.