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Finding the Fourth Proportional to 300,292.22, 414,396.86 and 164,325.62

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Solution

The fourth proportional to 300,292.22, 414,396.86 and 164,325.62 is: 226,765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,292.22 : 414,396.86 = 164,325.62 : x
  2. Step 2: Convert to fraction form
    300,292.22/414,396.86 = 164,325.62/x
  3. Step 3: Cross multiply
    300,292.22x = 414,396.86 × 164,325.62
  4. Step 4: Simplify right side
    300,292.22x = 68,096,020,945.55
  5. Step 5: Solve for x
    x = 68,096,020,945.55/300,292.22
  6. Step 6: Final answer
    x = 226,765.85

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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.