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Finding the Fourth Proportional to 327,414, 451,763.28 and 191,421.28

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Solution

The fourth proportional to 327,414, 451,763.28 and 191,421.28 is: 264,121.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,414 : 451,763.28 = 191,421.28 : x
  2. Step 2: Convert to fraction form
    327,414/451,763.28 = 191,421.28/x
  3. Step 3: Cross multiply
    327,414x = 451,763.28 × 191,421.28
  4. Step 4: Simplify right side
    327,414x = 86,477,104,185.19
  5. Step 5: Solve for x
    x = 86,477,104,185.19/327,414
  6. Step 6: Final answer
    x = 264,121.58

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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.