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Finding the Fourth Proportional to 298,963.74, 412,466.46 and 191,592.96

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Solution

The fourth proportional to 298,963.74, 412,466.46 and 191,592.96 is: 264,331.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,963.74 : 412,466.46 = 191,592.96 : x
  2. Step 2: Convert to fraction form
    298,963.74/412,466.46 = 191,592.96/x
  3. Step 3: Cross multiply
    298,963.74x = 412,466.46 × 191,592.96
  4. Step 4: Simplify right side
    298,963.74x = 79,025,669,972.12
  5. Step 5: Solve for x
    x = 79,025,669,972.12/298,963.74
  6. Step 6: Final answer
    x = 264,331.96

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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.