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Finding the Fourth Proportional to 276,564.70, 413,862.90 and 191,927.80

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Solution

The fourth proportional to 276,564.70, 413,862.90 and 191,927.80 is: 287,208.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,564.70 : 413,862.90 = 191,927.80 : x
  2. Step 2: Convert to fraction form
    276,564.70/413,862.90 = 191,927.80/x
  3. Step 3: Cross multiply
    276,564.70x = 413,862.90 × 191,927.80
  4. Step 4: Simplify right side
    276,564.70x = 79,431,795,898.62
  5. Step 5: Solve for x
    x = 79,431,795,898.62/276,564.70
  6. Step 6: Final answer
    x = 287,208.73

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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.