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Finding the Fourth Proportional to 304,020.78, 419,541.98 and 168,049.50

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Solution

The fourth proportional to 304,020.78, 419,541.98 and 168,049.50 is: 231,904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,020.78 : 419,541.98 = 168,049.50 : x
  2. Step 2: Convert to fraction form
    304,020.78/419,541.98 = 168,049.50/x
  3. Step 3: Cross multiply
    304,020.78x = 419,541.98 × 168,049.50
  4. Step 4: Simplify right side
    304,020.78x = 70,503,819,127.76
  5. Step 5: Solve for x
    x = 70,503,819,127.76/304,020.78
  6. Step 6: Final answer
    x = 231,904.61

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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.