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Finding the Fourth Proportional to 384,446.82, 576,793.63 and 184,781.69

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Solution

The fourth proportional to 384,446.82, 576,793.63 and 184,781.69 is: 277,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,446.82 : 576,793.63 = 184,781.69 : x
  2. Step 2: Convert to fraction form
    384,446.82/576,793.63 = 184,781.69/x
  3. Step 3: Cross multiply
    384,446.82x = 576,793.63 × 184,781.69
  4. Step 4: Simplify right side
    384,446.82x = 106,580,900,203.22
  5. Step 5: Solve for x
    x = 106,580,900,203.22/384,446.82
  6. Step 6: Final answer
    x = 277,231.84

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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.