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Finding the Fourth Proportional to 384,564.60, 576,846.90 and 227,100.60

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Solution

The fourth proportional to 384,564.60, 576,846.90 and 227,100.60 is: 340,650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,564.60 : 576,846.90 = 227,100.60 : x
  2. Step 2: Convert to fraction form
    384,564.60/576,846.90 = 227,100.60/x
  3. Step 3: Cross multiply
    384,564.60x = 576,846.90 × 227,100.60
  4. Step 4: Simplify right side
    384,564.60x = 131,002,277,098.14
  5. Step 5: Solve for x
    x = 131,002,277,098.14/384,564.60
  6. Step 6: Final answer
    x = 340,650.90

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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.