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Finding the Fourth Proportional to 300,650.85, 414,904.11 and 164,684.79

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Solution

The fourth proportional to 300,650.85, 414,904.11 and 164,684.79 is: 227,268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,650.85 : 414,904.11 = 164,684.79 : x
  2. Step 2: Convert to fraction form
    300,650.85/414,904.11 = 164,684.79/x
  3. Step 3: Cross multiply
    300,650.85x = 414,904.11 × 164,684.79
  4. Step 4: Simplify right side
    300,650.85x = 68,328,396,225.49
  5. Step 5: Solve for x
    x = 68,328,396,225.49/300,650.85
  6. Step 6: Final answer
    x = 227,268.26

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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.