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Finding the Fourth Proportional to 329,608.50, 494,119.53 and 119,199.66

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Solution

The fourth proportional to 329,608.50, 494,119.53 and 119,199.66 is: 178,693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,608.50 : 494,119.53 = 119,199.66 : x
  2. Step 2: Convert to fraction form
    329,608.50/494,119.53 = 119,199.66/x
  3. Step 3: Cross multiply
    329,608.50x = 494,119.53 × 119,199.66
  4. Step 4: Simplify right side
    329,608.50x = 58,898,879,975.36
  5. Step 5: Solve for x
    x = 58,898,879,975.36/329,608.50
  6. Step 6: Final answer
    x = 178,693.45

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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.