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Finding the Fourth Proportional to 347,967.54, 480,180.69 and 197,064.54

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Solution

The fourth proportional to 347,967.54, 480,180.69 and 197,064.54 is: 271,940.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,967.54 : 480,180.69 = 197,064.54 : x
  2. Step 2: Convert to fraction form
    347,967.54/480,180.69 = 197,064.54/x
  3. Step 3: Cross multiply
    347,967.54x = 480,180.69 × 197,064.54
  4. Step 4: Simplify right side
    347,967.54x = 94,626,586,791.73
  5. Step 5: Solve for x
    x = 94,626,586,791.73/347,967.54
  6. Step 6: Final answer
    x = 271,940.84

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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.