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Finding the Fourth Proportional to 408,396.25, 563,504.22 and 238,597.57

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Solution

The fourth proportional to 408,396.25, 563,504.22 and 238,597.57 is: 329,216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,396.25 : 563,504.22 = 238,597.57 : x
  2. Step 2: Convert to fraction form
    408,396.25/563,504.22 = 238,597.57/x
  3. Step 3: Cross multiply
    408,396.25x = 563,504.22 × 238,597.57
  4. Step 4: Simplify right side
    408,396.25x = 134,450,737,576.75
  5. Step 5: Solve for x
    x = 134,450,737,576.75/408,396.25
  6. Step 6: Final answer
    x = 329,216.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.