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Finding the Fourth Proportional to 298,982.58, 412,599.22 and 163,015.44

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Solution

The fourth proportional to 298,982.58, 412,599.22 and 163,015.44 is: 224,963.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,982.58 : 412,599.22 = 163,015.44 : x
  2. Step 2: Convert to fraction form
    298,982.58/412,599.22 = 163,015.44/x
  3. Step 3: Cross multiply
    298,982.58x = 412,599.22 × 163,015.44
  4. Step 4: Simplify right side
    298,982.58x = 67,260,043,391.96
  5. Step 5: Solve for x
    x = 67,260,043,391.96/298,982.58
  6. Step 6: Final answer
    x = 224,963.08

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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.