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Finding the Fourth Proportional to 304,205.18, 419,859.30 and 195,445.47

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Solution

The fourth proportional to 304,205.18, 419,859.30 and 195,445.47 is: 269,750.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,205.18 : 419,859.30 = 195,445.47 : x
  2. Step 2: Convert to fraction form
    304,205.18/419,859.30 = 195,445.47/x
  3. Step 3: Cross multiply
    304,205.18x = 419,859.30 × 195,445.47
  4. Step 4: Simplify right side
    304,205.18x = 82,059,598,222.37
  5. Step 5: Solve for x
    x = 82,059,598,222.37/304,205.18
  6. Step 6: Final answer
    x = 269,750.82

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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.