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Finding the Fourth Proportional to 365,368.24, 548,549.34 and 205,556.64

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Solution

The fourth proportional to 365,368.24, 548,549.34 and 205,556.64 is: 308,614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,368.24 : 548,549.34 = 205,556.64 : x
  2. Step 2: Convert to fraction form
    365,368.24/548,549.34 = 205,556.64/x
  3. Step 3: Cross multiply
    365,368.24x = 548,549.34 × 205,556.64
  4. Step 4: Simplify right side
    365,368.24x = 112,757,959,204.62
  5. Step 5: Solve for x
    x = 112,757,959,204.62/365,368.24
  6. Step 6: Final answer
    x = 308,614.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.