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Finding the Fourth Proportional to 301,338, 415,859.40 and 167,202

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Solution

The fourth proportional to 301,338, 415,859.40 and 167,202 is: 230,745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,338 : 415,859.40 = 167,202 : x
  2. Step 2: Convert to fraction form
    301,338/415,859.40 = 167,202/x
  3. Step 3: Cross multiply
    301,338x = 415,859.40 × 167,202
  4. Step 4: Simplify right side
    301,338x = 69,532,523,398.80
  5. Step 5: Solve for x
    x = 69,532,523,398.80/301,338
  6. Step 6: Final answer
    x = 230,745.95

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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.