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Finding the Fourth Proportional to 296,912.40, 445,466.34 and 197,463.84

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Solution

The fourth proportional to 296,912.40, 445,466.34 and 197,463.84 is: 296,260.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,912.40 : 445,466.34 = 197,463.84 : x
  2. Step 2: Convert to fraction form
    296,912.40/445,466.34 = 197,463.84/x
  3. Step 3: Cross multiply
    296,912.40x = 445,466.34 × 197,463.84
  4. Step 4: Simplify right side
    296,912.40x = 87,963,494,087.15
  5. Step 5: Solve for x
    x = 87,963,494,087.15/296,912.40
  6. Step 6: Final answer
    x = 296,260.76

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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.