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Finding the Fourth Proportional to 654,603.76, 981,906.77 and 205,360.01

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Solution

The fourth proportional to 654,603.76, 981,906.77 and 205,360.01 is: 308,040.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,603.76 : 981,906.77 = 205,360.01 : x
  2. Step 2: Convert to fraction form
    654,603.76/981,906.77 = 205,360.01/x
  3. Step 3: Cross multiply
    654,603.76x = 981,906.77 × 205,360.01
  4. Step 4: Simplify right side
    654,603.76x = 201,644,383,392.28
  5. Step 5: Solve for x
    x = 201,644,383,392.28/654,603.76
  6. Step 6: Final answer
    x = 308,040.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.