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Finding the Fourth Proportional to 304,187.22, 419,794.11 and 175,144.86

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Solution

The fourth proportional to 304,187.22, 419,794.11 and 175,144.86 is: 241,708.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,187.22 : 419,794.11 = 175,144.86 : x
  2. Step 2: Convert to fraction form
    304,187.22/419,794.11 = 175,144.86/x
  3. Step 3: Cross multiply
    304,187.22x = 419,794.11 × 175,144.86
  4. Step 4: Simplify right side
    304,187.22x = 73,524,780,624.77
  5. Step 5: Solve for x
    x = 73,524,780,624.77/304,187.22
  6. Step 6: Final answer
    x = 241,708.97

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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.