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Finding the Fourth Proportional to 365,147.52, 546,711.36 and 187,271.04

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Solution

The fourth proportional to 365,147.52, 546,711.36 and 187,271.04 is: 280,388.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,147.52 : 546,711.36 = 187,271.04 : x
  2. Step 2: Convert to fraction form
    365,147.52/546,711.36 = 187,271.04/x
  3. Step 3: Cross multiply
    365,147.52x = 546,711.36 × 187,271.04
  4. Step 4: Simplify right side
    365,147.52x = 102,383,204,967.01
  5. Step 5: Solve for x
    x = 102,383,204,967.01/365,147.52
  6. Step 6: Final answer
    x = 280,388.61

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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.