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Finding the Fourth Proportional to 298,884.37, 412,448.02 and 162,915.33

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Solution

The fourth proportional to 298,884.37, 412,448.02 and 162,915.33 is: 224,816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,884.37 : 412,448.02 = 162,915.33 : x
  2. Step 2: Convert to fraction form
    298,884.37/412,448.02 = 162,915.33/x
  3. Step 3: Cross multiply
    298,884.37x = 412,448.02 × 162,915.33
  4. Step 4: Simplify right side
    298,884.37x = 67,194,105,286.15
  5. Step 5: Solve for x
    x = 67,194,105,286.15/298,884.37
  6. Step 6: Final answer
    x = 224,816.39

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1.5x scale

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.