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Finding the Fourth Proportional to 408,745.37, 612,231.91 and 197,941.25

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Solution

The fourth proportional to 408,745.37, 612,231.91 and 197,941.25 is: 296,482.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,745.37 : 612,231.91 = 197,941.25 : x
  2. Step 2: Convert to fraction form
    408,745.37/612,231.91 = 197,941.25/x
  3. Step 3: Cross multiply
    408,745.37x = 612,231.91 × 197,941.25
  4. Step 4: Simplify right side
    408,745.37x = 121,185,949,555.29
  5. Step 5: Solve for x
    x = 121,185,949,555.29/408,745.37
  6. Step 6: Final answer
    x = 296,482.75

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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.