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Finding the Fourth Proportional to 339,424.83, 468,354.20 and 196,157.21

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Solution

The fourth proportional to 339,424.83, 468,354.20 and 196,157.21 is: 270,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,424.83 : 468,354.20 = 196,157.21 : x
  2. Step 2: Convert to fraction form
    339,424.83/468,354.20 = 196,157.21/x
  3. Step 3: Cross multiply
    339,424.83x = 468,354.20 × 196,157.21
  4. Step 4: Simplify right side
    339,424.83x = 91,871,049,841.23
  5. Step 5: Solve for x
    x = 91,871,049,841.23/339,424.83
  6. Step 6: Final answer
    x = 270,666.85

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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.