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Finding the Fourth Proportional to 227,668.20, 341,210.70 and 174,815.70

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Solution

The fourth proportional to 227,668.20, 341,210.70 and 174,815.70 is: 261,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,668.20 : 341,210.70 = 174,815.70 : x
  2. Step 2: Convert to fraction form
    227,668.20/341,210.70 = 174,815.70/x
  3. Step 3: Cross multiply
    227,668.20x = 341,210.70 × 174,815.70
  4. Step 4: Simplify right side
    227,668.20x = 59,648,987,367.99
  5. Step 5: Solve for x
    x = 59,648,987,367.99/227,668.20
  6. Step 6: Final answer
    x = 261,999.64

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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.