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Finding the Fourth Proportional to 384,047.82, 529,901.16 and 222,809.48

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Solution

The fourth proportional to 384,047.82, 529,901.16 and 222,809.48 is: 307,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,047.82 : 529,901.16 = 222,809.48 : x
  2. Step 2: Convert to fraction form
    384,047.82/529,901.16 = 222,809.48/x
  3. Step 3: Cross multiply
    384,047.82x = 529,901.16 × 222,809.48
  4. Step 4: Simplify right side
    384,047.82x = 118,067,001,911.00
  5. Step 5: Solve for x
    x = 118,067,001,911.00/384,047.82
  6. Step 6: Final answer
    x = 307,427.87

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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.