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Finding the Fourth Proportional to 494,414.40, 693,754.80 and 494,414.40

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Solution

The fourth proportional to 494,414.40, 693,754.80 and 494,414.40 is: 693,754.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,414.40 : 693,754.80 = 494,414.40 : x
  2. Step 2: Convert to fraction form
    494,414.40/693,754.80 = 494,414.40/x
  3. Step 3: Cross multiply
    494,414.40x = 693,754.80 × 494,414.40
  4. Step 4: Simplify right side
    494,414.40x = 343,002,363,189.12
  5. Step 5: Solve for x
    x = 343,002,363,189.12/494,414.40
  6. Step 6: Final answer
    x = 693,754.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.