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Finding the Fourth Proportional to 327,348, 451,740.72 and 193,212

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Solution

The fourth proportional to 327,348, 451,740.72 and 193,212 is: 266,632.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,348 : 451,740.72 = 193,212 : x
  2. Step 2: Convert to fraction form
    327,348/451,740.72 = 193,212/x
  3. Step 3: Cross multiply
    327,348x = 451,740.72 × 193,212
  4. Step 4: Simplify right side
    327,348x = 87,281,727,992.64
  5. Step 5: Solve for x
    x = 87,281,727,992.64/327,348
  6. Step 6: Final answer
    x = 266,632.84

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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.