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Finding the Fourth Proportional to 309,470.85, 464,208 and 140,873.28

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Solution

The fourth proportional to 309,470.85, 464,208 and 140,873.28 is: 211,310.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,470.85 : 464,208 = 140,873.28 : x
  2. Step 2: Convert to fraction form
    309,470.85/464,208 = 140,873.28/x
  3. Step 3: Cross multiply
    309,470.85x = 464,208 × 140,873.28
  4. Step 4: Simplify right side
    309,470.85x = 65,394,503,562.24
  5. Step 5: Solve for x
    x = 65,394,503,562.24/309,470.85
  6. Step 6: Final answer
    x = 211,310.71

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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.