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Finding the Fourth Proportional to 298,615.21, 412,085.50 and 162,648.73

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Solution

The fourth proportional to 298,615.21, 412,085.50 and 162,648.73 is: 224,453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,615.21 : 412,085.50 = 162,648.73 : x
  2. Step 2: Convert to fraction form
    298,615.21/412,085.50 = 162,648.73/x
  3. Step 3: Cross multiply
    298,615.21x = 412,085.50 × 162,648.73
  4. Step 4: Simplify right side
    298,615.21x = 67,025,183,226.42
  5. Step 5: Solve for x
    x = 67,025,183,226.42/298,615.21
  6. Step 6: Final answer
    x = 224,453.35

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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.