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Finding the Fourth Proportional to 355,777.26, 490,984.23 and 194,632.31

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Solution

The fourth proportional to 355,777.26, 490,984.23 and 194,632.31 is: 268,598.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,777.26 : 490,984.23 = 194,632.31 : x
  2. Step 2: Convert to fraction form
    355,777.26/490,984.23 = 194,632.31/x
  3. Step 3: Cross multiply
    355,777.26x = 490,984.23 × 194,632.31
  4. Step 4: Simplify right side
    355,777.26x = 95,561,394,858.47
  5. Step 5: Solve for x
    x = 95,561,394,858.47/355,777.26
  6. Step 6: Final answer
    x = 268,598.94

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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.