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Finding the Fourth Proportional to 984,704.32, 1,477,305.42 and 274,732

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Solution

The fourth proportional to 984,704.32, 1,477,305.42 and 274,732 is: 412,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,704.32 : 1,477,305.42 = 274,732 : x
  2. Step 2: Convert to fraction form
    984,704.32/1,477,305.42 = 274,732/x
  3. Step 3: Cross multiply
    984,704.32x = 1,477,305.42 × 274,732
  4. Step 4: Simplify right side
    984,704.32x = 405,863,072,647.44
  5. Step 5: Solve for x
    x = 405,863,072,647.44/984,704.32
  6. Step 6: Final answer
    x = 412,167.45

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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.