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Finding the Fourth Proportional to 408,745.87, 612,232.66 and 197,941.75

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Solution

The fourth proportional to 408,745.87, 612,232.66 and 197,941.75 is: 296,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,745.87 : 612,232.66 = 197,941.75 : x
  2. Step 2: Convert to fraction form
    408,745.87/612,232.66 = 197,941.75/x
  3. Step 3: Cross multiply
    408,745.87x = 612,232.66 × 197,941.75
  4. Step 4: Simplify right side
    408,745.87x = 121,186,404,127.56
  5. Step 5: Solve for x
    x = 121,186,404,127.56/408,745.87
  6. Step 6: Final answer
    x = 296,483.50

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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.