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Finding the Fourth Proportional to 304,049.02, 419,544.78 and 174,938.44

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Solution

The fourth proportional to 304,049.02, 419,544.78 and 174,938.44 is: 241,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,049.02 : 419,544.78 = 174,938.44 : x
  2. Step 2: Convert to fraction form
    304,049.02/419,544.78 = 174,938.44/x
  3. Step 3: Cross multiply
    304,049.02x = 419,544.78 × 174,938.44
  4. Step 4: Simplify right side
    304,049.02x = 73,394,509,323.34
  5. Step 5: Solve for x
    x = 73,394,509,323.34/304,049.02
  6. Step 6: Final answer
    x = 241,390.38

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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.