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Finding the Fourth Proportional to 465,293.69, 641,941.77 and 304,243.01

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Solution

The fourth proportional to 465,293.69, 641,941.77 and 304,243.01 is: 419,748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,293.69 : 641,941.77 = 304,243.01 : x
  2. Step 2: Convert to fraction form
    465,293.69/641,941.77 = 304,243.01/x
  3. Step 3: Cross multiply
    465,293.69x = 641,941.77 × 304,243.01
  4. Step 4: Simplify right side
    465,293.69x = 195,306,296,349.53
  5. Step 5: Solve for x
    x = 195,306,296,349.53/465,293.69
  6. Step 6: Final answer
    x = 419,748.43

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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.