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Finding the Fourth Proportional to 272,458.34, 408,483.90 and 187,977.44

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Solution

The fourth proportional to 272,458.34, 408,483.90 and 187,977.44 is: 281,825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,458.34 : 408,483.90 = 187,977.44 : x
  2. Step 2: Convert to fraction form
    272,458.34/408,483.90 = 187,977.44/x
  3. Step 3: Cross multiply
    272,458.34x = 408,483.90 × 187,977.44
  4. Step 4: Simplify right side
    272,458.34x = 76,785,755,760.80
  5. Step 5: Solve for x
    x = 76,785,755,760.80/272,458.34
  6. Step 6: Final answer
    x = 281,825.68

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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.