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Finding the Fourth Proportional to 298,377.44, 411,771.29 and 162,422.58

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Solution

The fourth proportional to 298,377.44, 411,771.29 and 162,422.58 is: 224,148.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,377.44 : 411,771.29 = 162,422.58 : x
  2. Step 2: Convert to fraction form
    298,377.44/411,771.29 = 162,422.58/x
  3. Step 3: Cross multiply
    298,377.44x = 411,771.29 × 162,422.58
  4. Step 4: Simplify right side
    298,377.44x = 66,880,954,479.62
  5. Step 5: Solve for x
    x = 66,880,954,479.62/298,377.44
  6. Step 6: Final answer
    x = 224,148.84

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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.