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Finding the Fourth Proportional to 297,743.28, 410,893.56 and 170,459.88

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Solution

The fourth proportional to 297,743.28, 410,893.56 and 170,459.88 is: 235,239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,743.28 : 410,893.56 = 170,459.88 : x
  2. Step 2: Convert to fraction form
    297,743.28/410,893.56 = 170,459.88/x
  3. Step 3: Cross multiply
    297,743.28x = 410,893.56 × 170,459.88
  4. Step 4: Simplify right side
    297,743.28x = 70,040,866,930.37
  5. Step 5: Solve for x
    x = 70,040,866,930.37/297,743.28
  6. Step 6: Final answer
    x = 235,239.12

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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.