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Finding the Fourth Proportional to 354,311.70, 531,540.45 and 117,824.10

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Solution

The fourth proportional to 354,311.70, 531,540.45 and 117,824.10 is: 176,760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,311.70 : 531,540.45 = 117,824.10 : x
  2. Step 2: Convert to fraction form
    354,311.70/531,540.45 = 117,824.10/x
  3. Step 3: Cross multiply
    354,311.70x = 531,540.45 × 117,824.10
  4. Step 4: Simplify right side
    354,311.70x = 62,628,275,134.85
  5. Step 5: Solve for x
    x = 62,628,275,134.85/354,311.70
  6. Step 6: Final answer
    x = 176,760.39

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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.