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Finding the Fourth Proportional to 510,049.09, 703,865.86 and 283,694.59

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Solution

The fourth proportional to 510,049.09, 703,865.86 and 283,694.59 is: 391,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,049.09 : 703,865.86 = 283,694.59 : x
  2. Step 2: Convert to fraction form
    510,049.09/703,865.86 = 283,694.59/x
  3. Step 3: Cross multiply
    510,049.09x = 703,865.86 × 283,694.59
  4. Step 4: Simplify right side
    510,049.09x = 199,682,936,567.70
  5. Step 5: Solve for x
    x = 199,682,936,567.70/510,049.09
  6. Step 6: Final answer
    x = 391,497.49

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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.