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Finding the Fourth Proportional to 336,114.20, 504,260.40 and 146,493.20

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Solution

The fourth proportional to 336,114.20, 504,260.40 and 146,493.20 is: 219,778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,114.20 : 504,260.40 = 146,493.20 : x
  2. Step 2: Convert to fraction form
    336,114.20/504,260.40 = 146,493.20/x
  3. Step 3: Cross multiply
    336,114.20x = 504,260.40 × 146,493.20
  4. Step 4: Simplify right side
    336,114.20x = 73,870,719,629.28
  5. Step 5: Solve for x
    x = 73,870,719,629.28/336,114.20
  6. Step 6: Final answer
    x = 219,778.63

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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.