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Finding the Fourth Proportional to 984,729.40, 1,477,342.92 and 274,757

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Solution

The fourth proportional to 984,729.40, 1,477,342.92 and 274,757 is: 412,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,729.40 : 1,477,342.92 = 274,757 : x
  2. Step 2: Convert to fraction form
    984,729.40/1,477,342.92 = 274,757/x
  3. Step 3: Cross multiply
    984,729.40x = 1,477,342.92 × 274,757
  4. Step 4: Simplify right side
    984,729.40x = 405,910,308,670.44
  5. Step 5: Solve for x
    x = 405,910,308,670.44/984,729.40
  6. Step 6: Final answer
    x = 412,204.93

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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.