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Finding the Fourth Proportional to 419,096.97, 578,336.69 and 237,805.13

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Solution

The fourth proportional to 419,096.97, 578,336.69 and 237,805.13 is: 328,161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,096.97 : 578,336.69 = 237,805.13 : x
  2. Step 2: Convert to fraction form
    419,096.97/578,336.69 = 237,805.13/x
  3. Step 3: Cross multiply
    419,096.97x = 578,336.69 × 237,805.13
  4. Step 4: Simplify right side
    419,096.97x = 137,531,433,789.57
  5. Step 5: Solve for x
    x = 137,531,433,789.57/419,096.97
  6. Step 6: Final answer
    x = 328,161.37

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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.