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Finding the Fourth Proportional to 512,993.24, 707,908.74 and 283,538.78

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Solution

The fourth proportional to 512,993.24, 707,908.74 and 283,538.78 is: 391,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,993.24 : 707,908.74 = 283,538.78 : x
  2. Step 2: Convert to fraction form
    512,993.24/707,908.74 = 283,538.78/x
  3. Step 3: Cross multiply
    512,993.24x = 707,908.74 × 283,538.78
  4. Step 4: Simplify right side
    512,993.24x = 200,719,580,490.94
  5. Step 5: Solve for x
    x = 200,719,580,490.94/512,993.24
  6. Step 6: Final answer
    x = 391,271.39

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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.