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Finding the Fourth Proportional to 298,630.67, 412,110.24 and 164,494.67

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Solution

The fourth proportional to 298,630.67, 412,110.24 and 164,494.67 is: 227,002.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,630.67 : 412,110.24 = 164,494.67 : x
  2. Step 2: Convert to fraction form
    298,630.67/412,110.24 = 164,494.67/x
  3. Step 3: Cross multiply
    298,630.67x = 412,110.24 × 164,494.67
  4. Step 4: Simplify right side
    298,630.67x = 67,789,937,932.42
  5. Step 5: Solve for x
    x = 67,789,937,932.42/298,630.67
  6. Step 6: Final answer
    x = 227,002.60

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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.