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Finding the Fourth Proportional to 300,330.78, 414,415.47 and 179,446.38

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Solution

The fourth proportional to 300,330.78, 414,415.47 and 179,446.38 is: 247,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,330.78 : 414,415.47 = 179,446.38 : x
  2. Step 2: Convert to fraction form
    300,330.78/414,415.47 = 179,446.38/x
  3. Step 3: Cross multiply
    300,330.78x = 414,415.47 × 179,446.38
  4. Step 4: Simplify right side
    300,330.78x = 74,365,355,907.50
  5. Step 5: Solve for x
    x = 74,365,355,907.50/300,330.78
  6. Step 6: Final answer
    x = 247,611.50

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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.