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Finding the Fourth Proportional to 298,881.52, 412,453.78 and 162,915.46

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Solution

The fourth proportional to 298,881.52, 412,453.78 and 162,915.46 is: 224,821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,881.52 : 412,453.78 = 162,915.46 : x
  2. Step 2: Convert to fraction form
    298,881.52/412,453.78 = 162,915.46/x
  3. Step 3: Cross multiply
    298,881.52x = 412,453.78 × 162,915.46
  4. Step 4: Simplify right side
    298,881.52x = 67,195,097,297.44
  5. Step 5: Solve for x
    x = 67,195,097,297.44/298,881.52
  6. Step 6: Final answer
    x = 224,821.85

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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.