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Finding the Fourth Proportional to 305,270.32, 421,270.32 and 171,134.32

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Solution

The fourth proportional to 305,270.32, 421,270.32 and 171,134.32 is: 236,163.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,270.32 : 421,270.32 = 171,134.32 : x
  2. Step 2: Convert to fraction form
    305,270.32/421,270.32 = 171,134.32/x
  3. Step 3: Cross multiply
    305,270.32x = 421,270.32 × 171,134.32
  4. Step 4: Simplify right side
    305,270.32x = 72,093,809,749.38
  5. Step 5: Solve for x
    x = 72,093,809,749.38/305,270.32
  6. Step 6: Final answer
    x = 236,163.84

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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.