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Finding the Fourth Proportional to 384,022.62, 529,730.87 and 222,857.12

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Solution

The fourth proportional to 384,022.62, 529,730.87 and 222,857.12 is: 307,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,022.62 : 529,730.87 = 222,857.12 : x
  2. Step 2: Convert to fraction form
    384,022.62/529,730.87 = 222,857.12/x
  3. Step 3: Cross multiply
    384,022.62x = 529,730.87 × 222,857.12
  4. Step 4: Simplify right side
    384,022.62x = 118,054,292,300.35
  5. Step 5: Solve for x
    x = 118,054,292,300.35/384,022.62
  6. Step 6: Final answer
    x = 307,414.94

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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.