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Finding the Fourth Proportional to 365,943.25, 505,023.93 and 204,794.95

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Solution

The fourth proportional to 365,943.25, 505,023.93 and 204,794.95 is: 282,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,943.25 : 505,023.93 = 204,794.95 : x
  2. Step 2: Convert to fraction form
    365,943.25/505,023.93 = 204,794.95/x
  3. Step 3: Cross multiply
    365,943.25x = 505,023.93 × 204,794.95
  4. Step 4: Simplify right side
    365,943.25x = 103,426,350,493.15
  5. Step 5: Solve for x
    x = 103,426,350,493.15/365,943.25
  6. Step 6: Final answer
    x = 282,629.48

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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.