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Finding the Fourth Proportional to 301,604.87, 416,215.23 and 165,647.59

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Solution

The fourth proportional to 301,604.87, 416,215.23 and 165,647.59 is: 228,593.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,604.87 : 416,215.23 = 165,647.59 : x
  2. Step 2: Convert to fraction form
    301,604.87/416,215.23 = 165,647.59/x
  3. Step 3: Cross multiply
    301,604.87x = 416,215.23 × 165,647.59
  4. Step 4: Simplify right side
    301,604.87x = 68,945,049,770.80
  5. Step 5: Solve for x
    x = 68,945,049,770.80/301,604.87
  6. Step 6: Final answer
    x = 228,593.95

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1.5x scale

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.