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Finding the Fourth Proportional to 340,777.25, 470,253.41 and 187,814.96

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Solution

The fourth proportional to 340,777.25, 470,253.41 and 187,814.96 is: 259,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,777.25 : 470,253.41 = 187,814.96 : x
  2. Step 2: Convert to fraction form
    340,777.25/470,253.41 = 187,814.96/x
  3. Step 3: Cross multiply
    340,777.25x = 470,253.41 × 187,814.96
  4. Step 4: Simplify right side
    340,777.25x = 88,320,624,449.94
  5. Step 5: Solve for x
    x = 88,320,624,449.94/340,777.25
  6. Step 6: Final answer
    x = 259,174.07

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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.