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Finding the Fourth Proportional to 336,138.20, 504,296.40 and 146,517.20

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Solution

The fourth proportional to 336,138.20, 504,296.40 and 146,517.20 is: 219,814.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,138.20 : 504,296.40 = 146,517.20 : x
  2. Step 2: Convert to fraction form
    336,138.20/504,296.40 = 146,517.20/x
  3. Step 3: Cross multiply
    336,138.20x = 504,296.40 × 146,517.20
  4. Step 4: Simplify right side
    336,138.20x = 73,888,096,498.08
  5. Step 5: Solve for x
    x = 73,888,096,498.08/336,138.20
  6. Step 6: Final answer
    x = 219,814.64

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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.