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Finding the Fourth Proportional to 568,098.84, 783,992.79 and 313,466.43

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Solution

The fourth proportional to 568,098.84, 783,992.79 and 313,466.43 is: 432,592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,098.84 : 783,992.79 = 313,466.43 : x
  2. Step 2: Convert to fraction form
    568,098.84/783,992.79 = 313,466.43/x
  3. Step 3: Cross multiply
    568,098.84x = 783,992.79 × 313,466.43
  4. Step 4: Simplify right side
    568,098.84x = 245,755,416,323.41
  5. Step 5: Solve for x
    x = 245,755,416,323.41/568,098.84
  6. Step 6: Final answer
    x = 432,592.71

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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.