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Finding the Fourth Proportional to 329,841.33, 494,760.78 and 119,430.06

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Solution

The fourth proportional to 329,841.33, 494,760.78 and 119,430.06 is: 179,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,841.33 : 494,760.78 = 119,430.06 : x
  2. Step 2: Convert to fraction form
    329,841.33/494,760.78 = 119,430.06/x
  3. Step 3: Cross multiply
    329,841.33x = 494,760.78 × 119,430.06
  4. Step 4: Simplify right side
    329,841.33x = 59,089,309,641.05
  5. Step 5: Solve for x
    x = 59,089,309,641.05/329,841.33
  6. Step 6: Final answer
    x = 179,144.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.