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Finding the Fourth Proportional to 622,954.36, 933,074.34 and 409,481.30

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Solution

The fourth proportional to 622,954.36, 933,074.34 and 409,481.30 is: 613,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,954.36 : 933,074.34 = 409,481.30 : x
  2. Step 2: Convert to fraction form
    622,954.36/933,074.34 = 409,481.30/x
  3. Step 3: Cross multiply
    622,954.36x = 933,074.34 × 409,481.30
  4. Step 4: Simplify right side
    622,954.36x = 382,076,493,739.84
  5. Step 5: Solve for x
    x = 382,076,493,739.84/622,954.36
  6. Step 6: Final answer
    x = 613,329.83

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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.