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Finding the Fourth Proportional to 300,391.14, 414,544.05 and 166,255.14

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Solution

The fourth proportional to 300,391.14, 414,544.05 and 166,255.14 is: 229,434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,391.14 : 414,544.05 = 166,255.14 : x
  2. Step 2: Convert to fraction form
    300,391.14/414,544.05 = 166,255.14/x
  3. Step 3: Cross multiply
    300,391.14x = 414,544.05 × 166,255.14
  4. Step 4: Simplify right side
    300,391.14x = 68,920,079,068.92
  5. Step 5: Solve for x
    x = 68,920,079,068.92/300,391.14
  6. Step 6: Final answer
    x = 229,434.46

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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.