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Finding the Fourth Proportional to 465,291.69, 641,939.01 and 304,241.01

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Solution

The fourth proportional to 465,291.69, 641,939.01 and 304,241.01 is: 419,745.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,291.69 : 641,939.01 = 304,241.01 : x
  2. Step 2: Convert to fraction form
    465,291.69/641,939.01 = 304,241.01/x
  3. Step 3: Cross multiply
    465,291.69x = 641,939.01 × 304,241.01
  4. Step 4: Simplify right side
    465,291.69x = 195,304,172,760.80
  5. Step 5: Solve for x
    x = 195,304,172,760.80/465,291.69
  6. Step 6: Final answer
    x = 419,745.67

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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.