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Finding the Fourth Proportional to 294,651.33, 406,608.01 and 180,121.78

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Solution

The fourth proportional to 294,651.33, 406,608.01 and 180,121.78 is: 248,561.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,651.33 : 406,608.01 = 180,121.78 : x
  2. Step 2: Convert to fraction form
    294,651.33/406,608.01 = 180,121.78/x
  3. Step 3: Cross multiply
    294,651.33x = 406,608.01 × 180,121.78
  4. Step 4: Simplify right side
    294,651.33x = 73,238,958,523.46
  5. Step 5: Solve for x
    x = 73,238,958,523.46/294,651.33
  6. Step 6: Final answer
    x = 248,561.44

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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.