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Finding the Fourth Proportional to 327,477.47, 451,893.89 and 184,209.82

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Solution

The fourth proportional to 327,477.47, 451,893.89 and 184,209.82 is: 254,195.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,477.47 : 451,893.89 = 184,209.82 : x
  2. Step 2: Convert to fraction form
    327,477.47/451,893.89 = 184,209.82/x
  3. Step 3: Cross multiply
    327,477.47x = 451,893.89 × 184,209.82
  4. Step 4: Simplify right side
    327,477.47x = 83,243,291,466.79
  5. Step 5: Solve for x
    x = 83,243,291,466.79/327,477.47
  6. Step 6: Final answer
    x = 254,195.48

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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.