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Finding the Fourth Proportional to 300,680.92, 414,782.36 and 185,922.88

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Solution

The fourth proportional to 300,680.92, 414,782.36 and 185,922.88 is: 256,476.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,680.92 : 414,782.36 = 185,922.88 : x
  2. Step 2: Convert to fraction form
    300,680.92/414,782.36 = 185,922.88/x
  3. Step 3: Cross multiply
    300,680.92x = 414,782.36 × 185,922.88
  4. Step 4: Simplify right side
    300,680.92x = 77,117,530,944.40
  5. Step 5: Solve for x
    x = 77,117,530,944.40/300,680.92
  6. Step 6: Final answer
    x = 256,476.30

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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.