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Finding the Fourth Proportional to 304,040.38, 419,572.94 and 168,077.83

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Solution

The fourth proportional to 304,040.38, 419,572.94 and 168,077.83 is: 231,945.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,040.38 : 419,572.94 = 168,077.83 : x
  2. Step 2: Convert to fraction form
    304,040.38/419,572.94 = 168,077.83/x
  3. Step 3: Cross multiply
    304,040.38x = 419,572.94 × 168,077.83
  4. Step 4: Simplify right side
    304,040.38x = 70,520,907,184.06
  5. Step 5: Solve for x
    x = 70,520,907,184.06/304,040.38
  6. Step 6: Final answer
    x = 231,945.86

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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.