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Finding the Fourth Proportional to 309,630.40, 427,294.38 and 231,968.44

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Solution

The fourth proportional to 309,630.40, 427,294.38 and 231,968.44 is: 320,119.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,630.40 : 427,294.38 = 231,968.44 : x
  2. Step 2: Convert to fraction form
    309,630.40/427,294.38 = 231,968.44/x
  3. Step 3: Cross multiply
    309,630.40x = 427,294.38 × 231,968.44
  4. Step 4: Simplify right side
    309,630.40x = 99,118,810,749.37
  5. Step 5: Solve for x
    x = 99,118,810,749.37/309,630.40
  6. Step 6: Final answer
    x = 320,119.76

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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.