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Finding the Fourth Proportional to 340,892.98, 470,448.33 and 189,991.06

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Solution

The fourth proportional to 340,892.98, 470,448.33 and 189,991.06 is: 262,196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,892.98 : 470,448.33 = 189,991.06 : x
  2. Step 2: Convert to fraction form
    340,892.98/470,448.33 = 189,991.06/x
  3. Step 3: Cross multiply
    340,892.98x = 470,448.33 × 189,991.06
  4. Step 4: Simplify right side
    340,892.98x = 89,380,976,891.93
  5. Step 5: Solve for x
    x = 89,380,976,891.93/340,892.98
  6. Step 6: Final answer
    x = 262,196.59

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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.