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Finding the Fourth Proportional to 414,925.20, 622,387.80 and 204,535.80

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Solution

The fourth proportional to 414,925.20, 622,387.80 and 204,535.80 is: 306,803.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,925.20 : 622,387.80 = 204,535.80 : x
  2. Step 2: Convert to fraction form
    414,925.20/622,387.80 = 204,535.80/x
  3. Step 3: Cross multiply
    414,925.20x = 622,387.80 × 204,535.80
  4. Step 4: Simplify right side
    414,925.20x = 127,300,586,583.24
  5. Step 5: Solve for x
    x = 127,300,586,583.24/414,925.20
  6. Step 6: Final answer
    x = 306,803.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.