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Finding the Fourth Proportional to 510,869.94, 705,022.38 and 284,515.44

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Solution

The fourth proportional to 510,869.94, 705,022.38 and 284,515.44 is: 392,643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,869.94 : 705,022.38 = 284,515.44 : x
  2. Step 2: Convert to fraction form
    510,869.94/705,022.38 = 284,515.44/x
  3. Step 3: Cross multiply
    510,869.94x = 705,022.38 × 284,515.44
  4. Step 4: Simplify right side
    510,869.94x = 200,589,752,655.55
  5. Step 5: Solve for x
    x = 200,589,752,655.55/510,869.94
  6. Step 6: Final answer
    x = 392,643.48

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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.