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Finding the Fourth Proportional to 415,074.45, 622,611.78 and 320,442.78

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Solution

The fourth proportional to 415,074.45, 622,611.78 and 320,442.78 is: 480,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,074.45 : 622,611.78 = 320,442.78 : x
  2. Step 2: Convert to fraction form
    415,074.45/622,611.78 = 320,442.78/x
  3. Step 3: Cross multiply
    415,074.45x = 622,611.78 × 320,442.78
  4. Step 4: Simplify right side
    415,074.45x = 199,511,449,643.95
  5. Step 5: Solve for x
    x = 199,511,449,643.95/415,074.45
  6. Step 6: Final answer
    x = 480,664.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.