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Finding the Fourth Proportional to 301,098, 415,515.24 and 166,962

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Solution

The fourth proportional to 301,098, 415,515.24 and 166,962 is: 230,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,098 : 415,515.24 = 166,962 : x
  2. Step 2: Convert to fraction form
    301,098/415,515.24 = 166,962/x
  3. Step 3: Cross multiply
    301,098x = 415,515.24 × 166,962
  4. Step 4: Simplify right side
    301,098x = 69,375,255,500.88
  5. Step 5: Solve for x
    x = 69,375,255,500.88/301,098
  6. Step 6: Final answer
    x = 230,407.56

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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.