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Finding the Fourth Proportional to 304,087.96, 419,728.95 and 200,797.57

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Solution

The fourth proportional to 304,087.96, 419,728.95 and 200,797.57 is: 277,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,087.96 : 419,728.95 = 200,797.57 : x
  2. Step 2: Convert to fraction form
    304,087.96/419,728.95 = 200,797.57/x
  3. Step 3: Cross multiply
    304,087.96x = 419,728.95 × 200,797.57
  4. Step 4: Simplify right side
    304,087.96x = 84,280,553,218.65
  5. Step 5: Solve for x
    x = 84,280,553,218.65/304,087.96
  6. Step 6: Final answer
    x = 277,158.47

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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.