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Finding the Fourth Proportional to 294,059.52, 440,305.92 and 200,747.52

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Solution

The fourth proportional to 294,059.52, 440,305.92 and 200,747.52 is: 300,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,059.52 : 440,305.92 = 200,747.52 : x
  2. Step 2: Convert to fraction form
    294,059.52/440,305.92 = 200,747.52/x
  3. Step 3: Cross multiply
    294,059.52x = 440,305.92 × 200,747.52
  4. Step 4: Simplify right side
    294,059.52x = 88,390,321,481.32
  5. Step 5: Solve for x
    x = 88,390,321,481.32/294,059.52
  6. Step 6: Final answer
    x = 300,586.50

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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.