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Finding the Fourth Proportional to 462,757.34, 638,652.24 and 281,481.77

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Solution

The fourth proportional to 462,757.34, 638,652.24 and 281,481.77 is: 388,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,757.34 : 638,652.24 = 281,481.77 : x
  2. Step 2: Convert to fraction form
    462,757.34/638,652.24 = 281,481.77/x
  3. Step 3: Cross multiply
    462,757.34x = 638,652.24 × 281,481.77
  4. Step 4: Simplify right side
    462,757.34x = 179,768,959,736.40
  5. Step 5: Solve for x
    x = 179,768,959,736.40/462,757.34
  6. Step 6: Final answer
    x = 388,473.50

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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.