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Finding the Fourth Proportional to 340,896.48, 470,453.16 and 189,994.56

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Solution

The fourth proportional to 340,896.48, 470,453.16 and 189,994.56 is: 262,201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,896.48 : 470,453.16 = 189,994.56 : x
  2. Step 2: Convert to fraction form
    340,896.48/470,453.16 = 189,994.56/x
  3. Step 3: Cross multiply
    340,896.48x = 470,453.16 × 189,994.56
  4. Step 4: Simplify right side
    340,896.48x = 89,383,541,134.81
  5. Step 5: Solve for x
    x = 89,383,541,134.81/340,896.48
  6. Step 6: Final answer
    x = 262,201.42

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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.