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Finding the Fourth Proportional to 474,682.28, 654,951.44 and 280,992.44

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Solution

The fourth proportional to 474,682.28, 654,951.44 and 280,992.44 is: 387,704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,682.28 : 654,951.44 = 280,992.44 : x
  2. Step 2: Convert to fraction form
    474,682.28/654,951.44 = 280,992.44/x
  3. Step 3: Cross multiply
    474,682.28x = 654,951.44 × 280,992.44
  4. Step 4: Simplify right side
    474,682.28x = 184,036,403,207.11
  5. Step 5: Solve for x
    x = 184,036,403,207.11/474,682.28
  6. Step 6: Final answer
    x = 387,704.39

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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.