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Finding the Fourth Proportional to 300,351, 414,484.38 and 166,223.64

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Solution

The fourth proportional to 300,351, 414,484.38 and 166,223.64 is: 229,388.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,351 : 414,484.38 = 166,223.64 : x
  2. Step 2: Convert to fraction form
    300,351/414,484.38 = 166,223.64/x
  3. Step 3: Cross multiply
    300,351x = 414,484.38 × 166,223.64
  4. Step 4: Simplify right side
    300,351x = 68,897,102,366.74
  5. Step 5: Solve for x
    x = 68,897,102,366.74/300,351
  6. Step 6: Final answer
    x = 229,388.62

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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.