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Finding the Fourth Proportional to 421,442.20, 632,163.30 and 279,724.60

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Solution

The fourth proportional to 421,442.20, 632,163.30 and 279,724.60 is: 419,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,442.20 : 632,163.30 = 279,724.60 : x
  2. Step 2: Convert to fraction form
    421,442.20/632,163.30 = 279,724.60/x
  3. Step 3: Cross multiply
    421,442.20x = 632,163.30 × 279,724.60
  4. Step 4: Simplify right side
    421,442.20x = 176,831,626,227.18
  5. Step 5: Solve for x
    x = 176,831,626,227.18/421,442.20
  6. Step 6: Final answer
    x = 419,586.90

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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.