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Finding the Fourth Proportional to 462,305.78, 638,027.25 and 281,004.02

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Solution

The fourth proportional to 462,305.78, 638,027.25 and 281,004.02 is: 387,813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,305.78 : 638,027.25 = 281,004.02 : x
  2. Step 2: Convert to fraction form
    462,305.78/638,027.25 = 281,004.02/x
  3. Step 3: Cross multiply
    462,305.78x = 638,027.25 × 281,004.02
  4. Step 4: Simplify right side
    462,305.78x = 179,288,222,119.55
  5. Step 5: Solve for x
    x = 179,288,222,119.55/462,305.78
  6. Step 6: Final answer
    x = 387,813.07

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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.