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Finding the Fourth Proportional to 300,694.06, 414,800.48 and 185,936.02

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Solution

The fourth proportional to 300,694.06, 414,800.48 and 185,936.02 is: 256,494.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,694.06 : 414,800.48 = 185,936.02 : x
  2. Step 2: Convert to fraction form
    300,694.06/414,800.48 = 185,936.02/x
  3. Step 3: Cross multiply
    300,694.06x = 414,800.48 × 185,936.02
  4. Step 4: Simplify right side
    300,694.06x = 77,126,350,345.29
  5. Step 5: Solve for x
    x = 77,126,350,345.29/300,694.06
  6. Step 6: Final answer
    x = 256,494.43

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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.