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Finding the Fourth Proportional to 374,858.36, 517,317.44 and 205,092.48

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Solution

The fourth proportional to 374,858.36, 517,317.44 and 205,092.48 is: 283,034.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,858.36 : 517,317.44 = 205,092.48 : x
  2. Step 2: Convert to fraction form
    374,858.36/517,317.44 = 205,092.48/x
  3. Step 3: Cross multiply
    374,858.36x = 517,317.44 × 205,092.48
  4. Step 4: Simplify right side
    374,858.36x = 106,097,915,691.39
  5. Step 5: Solve for x
    x = 106,097,915,691.39/374,858.36
  6. Step 6: Final answer
    x = 283,034.68

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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.