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Finding the Fourth Proportional to 383,843.68, 529,532.92 and 222,605.28

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Solution

The fourth proportional to 383,843.68, 529,532.92 and 222,605.28 is: 307,095.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,843.68 : 529,532.92 = 222,605.28 : x
  2. Step 2: Convert to fraction form
    383,843.68/529,532.92 = 222,605.28/x
  3. Step 3: Cross multiply
    383,843.68x = 529,532.92 × 222,605.28
  4. Step 4: Simplify right side
    383,843.68x = 117,876,823,925.82
  5. Step 5: Solve for x
    x = 117,876,823,925.82/383,843.68
  6. Step 6: Final answer
    x = 307,095.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.