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Finding the Fourth Proportional to 276,786.41, 413,662.91 and 202,063.91

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Solution

The fourth proportional to 276,786.41, 413,662.91 and 202,063.91 is: 301,988.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,786.41 : 413,662.91 = 202,063.91 : x
  2. Step 2: Convert to fraction form
    276,786.41/413,662.91 = 202,063.91/x
  3. Step 3: Cross multiply
    276,786.41x = 413,662.91 × 202,063.91
  4. Step 4: Simplify right side
    276,786.41x = 83,586,341,937.94
  5. Step 5: Solve for x
    x = 83,586,341,937.94/276,786.41
  6. Step 6: Final answer
    x = 301,988.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.