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Finding the Fourth Proportional to 568,046.56, 783,906.78 and 313,405.24

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Solution

The fourth proportional to 568,046.56, 783,906.78 and 313,405.24 is: 432,500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,046.56 : 783,906.78 = 313,405.24 : x
  2. Step 2: Convert to fraction form
    568,046.56/783,906.78 = 313,405.24/x
  3. Step 3: Cross multiply
    568,046.56x = 783,906.78 × 313,405.24
  4. Step 4: Simplify right side
    568,046.56x = 245,680,492,523.53
  5. Step 5: Solve for x
    x = 245,680,492,523.53/568,046.56
  6. Step 6: Final answer
    x = 432,500.63

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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.