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Finding the Fourth Proportional to 465,096.42, 641,736.54 and 304,187.94

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Solution

The fourth proportional to 465,096.42, 641,736.54 and 304,187.94 is: 419,716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,096.42 : 641,736.54 = 304,187.94 : x
  2. Step 2: Convert to fraction form
    465,096.42/641,736.54 = 304,187.94/x
  3. Step 3: Cross multiply
    465,096.42x = 641,736.54 × 304,187.94
  4. Step 4: Simplify right side
    465,096.42x = 195,208,516,125.33
  5. Step 5: Solve for x
    x = 195,208,516,125.33/465,096.42
  6. Step 6: Final answer
    x = 419,716.23

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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.