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Finding the Fourth Proportional to 304,121.44, 419,675.34 and 176,787.01

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Solution

The fourth proportional to 304,121.44, 419,675.34 and 176,787.01 is: 243,958.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,121.44 : 419,675.34 = 176,787.01 : x
  2. Step 2: Convert to fraction form
    304,121.44/419,675.34 = 176,787.01/x
  3. Step 3: Cross multiply
    304,121.44x = 419,675.34 × 176,787.01
  4. Step 4: Simplify right side
    304,121.44x = 74,193,148,529.33
  5. Step 5: Solve for x
    x = 74,193,148,529.33/304,121.44
  6. Step 6: Final answer
    x = 243,958.95

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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.