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Finding the Fourth Proportional to 329,615.24, 494,472.20 and 119,302.38

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Solution

The fourth proportional to 329,615.24, 494,472.20 and 119,302.38 is: 178,971.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,615.24 : 494,472.20 = 119,302.38 : x
  2. Step 2: Convert to fraction form
    329,615.24/494,472.20 = 119,302.38/x
  3. Step 3: Cross multiply
    329,615.24x = 494,472.20 × 119,302.38
  4. Step 4: Simplify right side
    329,615.24x = 58,991,709,707.32
  5. Step 5: Solve for x
    x = 58,991,709,707.32/329,615.24
  6. Step 6: Final answer
    x = 178,971.43

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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.