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Finding the Fourth Proportional to 335,294.97, 502,893.24 and 110,662.74

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Solution

The fourth proportional to 335,294.97, 502,893.24 and 110,662.74 is: 165,977.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,294.97 : 502,893.24 = 110,662.74 : x
  2. Step 2: Convert to fraction form
    335,294.97/502,893.24 = 110,662.74/x
  3. Step 3: Cross multiply
    335,294.97x = 502,893.24 × 110,662.74
  4. Step 4: Simplify right side
    335,294.97x = 55,651,543,865.88
  5. Step 5: Solve for x
    x = 55,651,543,865.88/335,294.97
  6. Step 6: Final answer
    x = 165,977.87

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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.