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Finding the Fourth Proportional to 374,781.56, 517,198.38 and 205,015.64

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Solution

The fourth proportional to 374,781.56, 517,198.38 and 205,015.64 is: 282,921.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,781.56 : 517,198.38 = 205,015.64 : x
  2. Step 2: Convert to fraction form
    374,781.56/517,198.38 = 205,015.64/x
  3. Step 3: Cross multiply
    374,781.56x = 517,198.38 × 205,015.64
  4. Step 4: Simplify right side
    374,781.56x = 106,033,756,882.66
  5. Step 5: Solve for x
    x = 106,033,756,882.66/374,781.56
  6. Step 6: Final answer
    x = 282,921.49

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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.