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Finding the Fourth Proportional to 482,198.82, 723,418.50 and 340,321.22

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Solution

The fourth proportional to 482,198.82, 723,418.50 and 340,321.22 is: 510,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,198.82 : 723,418.50 = 340,321.22 : x
  2. Step 2: Convert to fraction form
    482,198.82/723,418.50 = 340,321.22/x
  3. Step 3: Cross multiply
    482,198.82x = 723,418.50 × 340,321.22
  4. Step 4: Simplify right side
    482,198.82x = 246,194,666,490.57
  5. Step 5: Solve for x
    x = 246,194,666,490.57/482,198.82
  6. Step 6: Final answer
    x = 510,566.71

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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.