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Finding the Fourth Proportional to 502,949.64, 754,511.82 and 203,418.12

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Solution

The fourth proportional to 502,949.64, 754,511.82 and 203,418.12 is: 305,162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,949.64 : 754,511.82 = 203,418.12 : x
  2. Step 2: Convert to fraction form
    502,949.64/754,511.82 = 203,418.12/x
  3. Step 3: Cross multiply
    502,949.64x = 754,511.82 × 203,418.12
  4. Step 4: Simplify right side
    502,949.64x = 153,481,375,942.18
  5. Step 5: Solve for x
    x = 153,481,375,942.18/502,949.64
  6. Step 6: Final answer
    x = 305,162.51

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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.