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Finding the Fourth Proportional to 340,716.44, 470,182.38 and 187,768.82

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Solution

The fourth proportional to 340,716.44, 470,182.38 and 187,768.82 is: 259,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,716.44 : 470,182.38 = 187,768.82 : x
  2. Step 2: Convert to fraction form
    340,716.44/470,182.38 = 187,768.82/x
  3. Step 3: Cross multiply
    340,716.44x = 470,182.38 × 187,768.82
  4. Step 4: Simplify right side
    340,716.44x = 88,285,590,677.39
  5. Step 5: Solve for x
    x = 88,285,590,677.39/340,716.44
  6. Step 6: Final answer
    x = 259,117.50

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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.