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Finding the Fourth Proportional to 683,760.82, 1,024,822 and 318,530.22

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Solution

The fourth proportional to 683,760.82, 1,024,822 and 318,530.22 is: 477,413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,760.82 : 1,024,822 = 318,530.22 : x
  2. Step 2: Convert to fraction form
    683,760.82/1,024,822 = 318,530.22/x
  3. Step 3: Cross multiply
    683,760.82x = 1,024,822 × 318,530.22
  4. Step 4: Simplify right side
    683,760.82x = 326,436,777,120.84
  5. Step 5: Solve for x
    x = 326,436,777,120.84/683,760.82
  6. Step 6: Final answer
    x = 477,413.69

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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.