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Finding the Fourth Proportional to 538,676.73, 743,375.88 and 293,660.10

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Solution

The fourth proportional to 538,676.73, 743,375.88 and 293,660.10 is: 405,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,676.73 : 743,375.88 = 293,660.10 : x
  2. Step 2: Convert to fraction form
    538,676.73/743,375.88 = 293,660.10/x
  3. Step 3: Cross multiply
    538,676.73x = 743,375.88 × 293,660.10
  4. Step 4: Simplify right side
    538,676.73x = 218,299,835,258.39
  5. Step 5: Solve for x
    x = 218,299,835,258.39/538,676.73
  6. Step 6: Final answer
    x = 405,252.02

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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.