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Finding the Fourth Proportional to 283,189.28, 424,842.24 and 236,766.56

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Solution

The fourth proportional to 283,189.28, 424,842.24 and 236,766.56 is: 355,198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,189.28 : 424,842.24 = 236,766.56 : x
  2. Step 2: Convert to fraction form
    283,189.28/424,842.24 = 236,766.56/x
  3. Step 3: Cross multiply
    283,189.28x = 424,842.24 × 236,766.56
  4. Step 4: Simplify right side
    283,189.28x = 100,588,435,707.49
  5. Step 5: Solve for x
    x = 100,588,435,707.49/283,189.28
  6. Step 6: Final answer
    x = 355,198.60

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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.