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Finding the Fourth Proportional to 303,971.36, 419,502.19 and 168,002.38

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Solution

The fourth proportional to 303,971.36, 419,502.19 and 168,002.38 is: 231,855.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,971.36 : 419,502.19 = 168,002.38 : x
  2. Step 2: Convert to fraction form
    303,971.36/419,502.19 = 168,002.38/x
  3. Step 3: Cross multiply
    303,971.36x = 419,502.19 × 168,002.38
  4. Step 4: Simplify right side
    303,971.36x = 70,477,365,706.46
  5. Step 5: Solve for x
    x = 70,477,365,706.46/303,971.36
  6. Step 6: Final answer
    x = 231,855.28

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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.