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Finding the Fourth Proportional to 366,012, 505,096.44 and 204,867

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Solution

The fourth proportional to 366,012, 505,096.44 and 204,867 is: 282,716.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,012 : 505,096.44 = 204,867 : x
  2. Step 2: Convert to fraction form
    366,012/505,096.44 = 204,867/x
  3. Step 3: Cross multiply
    366,012x = 505,096.44 × 204,867
  4. Step 4: Simplify right side
    366,012x = 103,477,592,373.48
  5. Step 5: Solve for x
    x = 103,477,592,373.48/366,012
  6. Step 6: Final answer
    x = 282,716.39

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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.