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Finding the Fourth Proportional to 340,707.54, 470,197.25 and 187,745.76

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Solution

The fourth proportional to 340,707.54, 470,197.25 and 187,745.76 is: 259,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,707.54 : 470,197.25 = 187,745.76 : x
  2. Step 2: Convert to fraction form
    340,707.54/470,197.25 = 187,745.76/x
  3. Step 3: Cross multiply
    340,707.54x = 470,197.25 × 187,745.76
  4. Step 4: Simplify right side
    340,707.54x = 88,277,539,816.48
  5. Step 5: Solve for x
    x = 88,277,539,816.48/340,707.54
  6. Step 6: Final answer
    x = 259,100.63

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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.