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Finding the Fourth Proportional to 309,942.40, 464,913.60 and 219,400.60

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Solution

The fourth proportional to 309,942.40, 464,913.60 and 219,400.60 is: 329,100.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,942.40 : 464,913.60 = 219,400.60 : x
  2. Step 2: Convert to fraction form
    309,942.40/464,913.60 = 219,400.60/x
  3. Step 3: Cross multiply
    309,942.40x = 464,913.60 × 219,400.60
  4. Step 4: Simplify right side
    309,942.40x = 102,002,322,788.16
  5. Step 5: Solve for x
    x = 102,002,322,788.16/309,942.40
  6. Step 6: Final answer
    x = 329,100.90

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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.