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Finding the Fourth Proportional to 613,906.38, 847,078.38 and 341,967.51

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Solution

The fourth proportional to 613,906.38, 847,078.38 and 341,967.51 is: 471,852.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,906.38 : 847,078.38 = 341,967.51 : x
  2. Step 2: Convert to fraction form
    613,906.38/847,078.38 = 341,967.51/x
  3. Step 3: Cross multiply
    613,906.38x = 847,078.38 × 341,967.51
  4. Step 4: Simplify right side
    613,906.38x = 289,673,284,383.43
  5. Step 5: Solve for x
    x = 289,673,284,383.43/613,906.38
  6. Step 6: Final answer
    x = 471,852.54

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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.