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Finding the Fourth Proportional to 400,193.04, 600,321.15 and 133,954.53

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Solution

The fourth proportional to 400,193.04, 600,321.15 and 133,954.53 is: 200,942.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,193.04 : 600,321.15 = 133,954.53 : x
  2. Step 2: Convert to fraction form
    400,193.04/600,321.15 = 133,954.53/x
  3. Step 3: Cross multiply
    400,193.04x = 600,321.15 × 133,954.53
  4. Step 4: Simplify right side
    400,193.04x = 80,415,737,497.31
  5. Step 5: Solve for x
    x = 80,415,737,497.31/400,193.04
  6. Step 6: Final answer
    x = 200,942.37

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1.5x scale

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.