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Finding the Fourth Proportional to 682,539.30, 1,023,012 and 513,516.78

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Solution

The fourth proportional to 682,539.30, 1,023,012 and 513,516.78 is: 769,675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,539.30 : 1,023,012 = 513,516.78 : x
  2. Step 2: Convert to fraction form
    682,539.30/1,023,012 = 513,516.78/x
  3. Step 3: Cross multiply
    682,539.30x = 1,023,012 × 513,516.78
  4. Step 4: Simplify right side
    682,539.30x = 525,333,828,141.36
  5. Step 5: Solve for x
    x = 525,333,828,141.36/682,539.30
  6. Step 6: Final answer
    x = 769,675.57

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