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Finding the Fourth Proportional to 328,838.54, 493,274.80 and 104,222.84

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Solution

The fourth proportional to 328,838.54, 493,274.80 and 104,222.84 is: 156,339.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,838.54 : 493,274.80 = 104,222.84 : x
  2. Step 2: Convert to fraction form
    328,838.54/493,274.80 = 104,222.84/x
  3. Step 3: Cross multiply
    328,838.54x = 493,274.80 × 104,222.84
  4. Step 4: Simplify right side
    328,838.54x = 51,410,500,556.43
  5. Step 5: Solve for x
    x = 51,410,500,556.43/328,838.54
  6. Step 6: Final answer
    x = 156,339.64

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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.