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Finding the Fourth Proportional to 446,974.27, 670,446.55 and 194,255.01

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Solution

The fourth proportional to 446,974.27, 670,446.55 and 194,255.01 is: 291,376.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,974.27 : 670,446.55 = 194,255.01 : x
  2. Step 2: Convert to fraction form
    446,974.27/670,446.55 = 194,255.01/x
  3. Step 3: Cross multiply
    446,974.27x = 670,446.55 × 194,255.01
  4. Step 4: Simplify right side
    446,974.27x = 130,237,601,517.53
  5. Step 5: Solve for x
    x = 130,237,601,517.53/446,974.27
  6. Step 6: Final answer
    x = 291,376.06

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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.