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Finding the Fourth Proportional to 276,115.23, 413,910.41 and 175,994.37

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Solution

The fourth proportional to 276,115.23, 413,910.41 and 175,994.37 is: 263,824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,115.23 : 413,910.41 = 175,994.37 : x
  2. Step 2: Convert to fraction form
    276,115.23/413,910.41 = 175,994.37/x
  3. Step 3: Cross multiply
    276,115.23x = 413,910.41 × 175,994.37
  4. Step 4: Simplify right side
    276,115.23x = 72,845,900,964.42
  5. Step 5: Solve for x
    x = 72,845,900,964.42/276,115.23
  6. Step 6: Final answer
    x = 263,824.28

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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.