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Finding the Fourth Proportional to 494,363.88, 682,294.98 and 313,092.70

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Solution

The fourth proportional to 494,363.88, 682,294.98 and 313,092.70 is: 432,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,363.88 : 682,294.98 = 313,092.70 : x
  2. Step 2: Convert to fraction form
    494,363.88/682,294.98 = 313,092.70/x
  3. Step 3: Cross multiply
    494,363.88x = 682,294.98 × 313,092.70
  4. Step 4: Simplify right side
    494,363.88x = 213,621,577,484.65
  5. Step 5: Solve for x
    x = 213,621,577,484.65/494,363.88
  6. Step 6: Final answer
    x = 432,114.05

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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.