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Finding the Fourth Proportional to 264,322.36, 364,770.30 and 149,601

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Solution

The fourth proportional to 264,322.36, 364,770.30 and 149,601 is: 206,452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,322.36 : 364,770.30 = 149,601 : x
  2. Step 2: Convert to fraction form
    264,322.36/364,770.30 = 149,601/x
  3. Step 3: Cross multiply
    264,322.36x = 364,770.30 × 149,601
  4. Step 4: Simplify right side
    264,322.36x = 54,570,001,650.30
  5. Step 5: Solve for x
    x = 54,570,001,650.30/264,322.36
  6. Step 6: Final answer
    x = 206,452.46

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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.