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Finding the Fourth Proportional to 682,833, 1,024,454.52 and 323,277.96

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Solution

The fourth proportional to 682,833, 1,024,454.52 and 323,277.96 is: 485,014.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,833 : 1,024,454.52 = 323,277.96 : x
  2. Step 2: Convert to fraction form
    682,833/1,024,454.52 = 323,277.96/x
  3. Step 3: Cross multiply
    682,833x = 1,024,454.52 × 323,277.96
  4. Step 4: Simplify right side
    682,833x = 331,183,567,338.38
  5. Step 5: Solve for x
    x = 331,183,567,338.38/682,833
  6. Step 6: Final answer
    x = 485,014.00

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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.