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Finding the Fourth Proportional to 320,791.89, 442,713.35 and 184,823.38

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Solution

The fourth proportional to 320,791.89, 442,713.35 and 184,823.38 is: 255,068.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,791.89 : 442,713.35 = 184,823.38 : x
  2. Step 2: Convert to fraction form
    320,791.89/442,713.35 = 184,823.38/x
  3. Step 3: Cross multiply
    320,791.89x = 442,713.35 × 184,823.38
  4. Step 4: Simplify right side
    320,791.89x = 81,823,774,580.44
  5. Step 5: Solve for x
    x = 81,823,774,580.44/320,791.89
  6. Step 6: Final answer
    x = 255,068.09

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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.