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Finding the Fourth Proportional to 340,750.22, 470,238.50 and 187,794

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Solution

The fourth proportional to 340,750.22, 470,238.50 and 187,794 is: 259,157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,750.22 : 470,238.50 = 187,794 : x
  2. Step 2: Convert to fraction form
    340,750.22/470,238.50 = 187,794/x
  3. Step 3: Cross multiply
    340,750.22x = 470,238.50 × 187,794
  4. Step 4: Simplify right side
    340,750.22x = 88,307,967,930.03
  5. Step 5: Solve for x
    x = 88,307,967,930.03/340,750.22
  6. Step 6: Final answer
    x = 259,157.48

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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.