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Finding the Fourth Proportional to 304,020.41, 419,541.46 and 168,049.13

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Solution

The fourth proportional to 304,020.41, 419,541.46 and 168,049.13 is: 231,904.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,020.41 : 419,541.46 = 168,049.13 : x
  2. Step 2: Convert to fraction form
    304,020.41/419,541.46 = 168,049.13/x
  3. Step 3: Cross multiply
    304,020.41x = 419,541.46 × 168,049.13
  4. Step 4: Simplify right side
    304,020.41x = 70,503,574,834.10
  5. Step 5: Solve for x
    x = 70,503,574,834.10/304,020.41
  6. Step 6: Final answer
    x = 231,904.09

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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.