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Finding the Fourth Proportional to 342,057.36, 472,035.84 and 191,154.48

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Solution

The fourth proportional to 342,057.36, 472,035.84 and 191,154.48 is: 263,791.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,057.36 : 472,035.84 = 191,154.48 : x
  2. Step 2: Convert to fraction form
    342,057.36/472,035.84 = 191,154.48/x
  3. Step 3: Cross multiply
    342,057.36x = 472,035.84 × 191,154.48
  4. Step 4: Simplify right side
    342,057.36x = 90,231,765,536.56
  5. Step 5: Solve for x
    x = 90,231,765,536.56/342,057.36
  6. Step 6: Final answer
    x = 263,791.33

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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.