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Finding the Fourth Proportional to 682,834, 1,024,456.02 and 323,278.96

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Solution

The fourth proportional to 682,834, 1,024,456.02 and 323,278.96 is: 485,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,834 : 1,024,456.02 = 323,278.96 : x
  2. Step 2: Convert to fraction form
    682,834/1,024,456.02 = 323,278.96/x
  3. Step 3: Cross multiply
    682,834x = 1,024,456.02 × 323,278.96
  4. Step 4: Simplify right side
    682,834x = 331,185,076,711.34
  5. Step 5: Solve for x
    x = 331,185,076,711.34/682,834
  6. Step 6: Final answer
    x = 485,015.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.