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Finding the Fourth Proportional to 313,998.02, 470,996.96 and 92,382.02

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Solution

The fourth proportional to 313,998.02, 470,996.96 and 92,382.02 is: 138,573.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,998.02 : 470,996.96 = 92,382.02 : x
  2. Step 2: Convert to fraction form
    313,998.02/470,996.96 = 92,382.02/x
  3. Step 3: Cross multiply
    313,998.02x = 470,996.96 × 92,382.02
  4. Step 4: Simplify right side
    313,998.02x = 43,511,647,761.76
  5. Step 5: Solve for x
    x = 43,511,647,761.76/313,998.02
  6. Step 6: Final answer
    x = 138,573.00

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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.