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Finding the Fourth Proportional to 227,958.40, 341,323.20 and 165,289.60

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Solution

The fourth proportional to 227,958.40, 341,323.20 and 165,289.60 is: 247,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,958.40 : 341,323.20 = 165,289.60 : x
  2. Step 2: Convert to fraction form
    227,958.40/341,323.20 = 165,289.60/x
  3. Step 3: Cross multiply
    227,958.40x = 341,323.20 × 165,289.60
  4. Step 4: Simplify right side
    227,958.40x = 56,417,175,198.72
  5. Step 5: Solve for x
    x = 56,417,175,198.72/227,958.40
  6. Step 6: Final answer
    x = 247,488.91

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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.