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Finding the Fourth Proportional to 274,760.80, 412,141.20 and 224,897.20

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Solution

The fourth proportional to 274,760.80, 412,141.20 and 224,897.20 is: 337,345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,760.80 : 412,141.20 = 224,897.20 : x
  2. Step 2: Convert to fraction form
    274,760.80/412,141.20 = 224,897.20/x
  3. Step 3: Cross multiply
    274,760.80x = 412,141.20 × 224,897.20
  4. Step 4: Simplify right side
    274,760.80x = 92,689,401,884.64
  5. Step 5: Solve for x
    x = 92,689,401,884.64/274,760.80
  6. Step 6: Final answer
    x = 337,345.80

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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.