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Finding the Fourth Proportional to 384,064.96, 529,924.62 and 222,826.48

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Solution

The fourth proportional to 384,064.96, 529,924.62 and 222,826.48 is: 307,451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,064.96 : 529,924.62 = 222,826.48 : x
  2. Step 2: Convert to fraction form
    384,064.96/529,924.62 = 222,826.48/x
  3. Step 3: Cross multiply
    384,064.96x = 529,924.62 × 222,826.48
  4. Step 4: Simplify right side
    384,064.96x = 118,081,237,739.94
  5. Step 5: Solve for x
    x = 118,081,237,739.94/384,064.96
  6. Step 6: Final answer
    x = 307,451.21

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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.