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Finding the Fourth Proportional to 456,144.70, 629,468.59 and 252,190.37

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Solution

The fourth proportional to 456,144.70, 629,468.59 and 252,190.37 is: 348,016.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,144.70 : 629,468.59 = 252,190.37 : x
  2. Step 2: Convert to fraction form
    456,144.70/629,468.59 = 252,190.37/x
  3. Step 3: Cross multiply
    456,144.70x = 629,468.59 × 252,190.37
  4. Step 4: Simplify right side
    456,144.70x = 158,745,912,207.18
  5. Step 5: Solve for x
    x = 158,745,912,207.18/456,144.70
  6. Step 6: Final answer
    x = 348,016.57

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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.