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Finding the Fourth Proportional to 298,658.70, 412,149 and 164,522.70

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Solution

The fourth proportional to 298,658.70, 412,149 and 164,522.70 is: 227,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,658.70 : 412,149 = 164,522.70 : x
  2. Step 2: Convert to fraction form
    298,658.70/412,149 = 164,522.70/x
  3. Step 3: Cross multiply
    298,658.70x = 412,149 × 164,522.70
  4. Step 4: Simplify right side
    298,658.70x = 67,807,866,282.30
  5. Step 5: Solve for x
    x = 67,807,866,282.30/298,658.70
  6. Step 6: Final answer
    x = 227,041.32

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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.