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Finding the Fourth Proportional to 298,613.21, 412,082.74 and 162,646.73

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Solution

The fourth proportional to 298,613.21, 412,082.74 and 162,646.73 is: 224,450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,613.21 : 412,082.74 = 162,646.73 : x
  2. Step 2: Convert to fraction form
    298,613.21/412,082.74 = 162,646.73/x
  3. Step 3: Cross multiply
    298,613.21x = 412,082.74 × 162,646.73
  4. Step 4: Simplify right side
    298,613.21x = 67,023,912,156.61
  5. Step 5: Solve for x
    x = 67,023,912,156.61/298,613.21
  6. Step 6: Final answer
    x = 224,450.59

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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.