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Finding the Fourth Proportional to 441,694.96, 662,449.56 and 142,202.32

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Solution

The fourth proportional to 441,694.96, 662,449.56 and 142,202.32 is: 213,273.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,694.96 : 662,449.56 = 142,202.32 : x
  2. Step 2: Convert to fraction form
    441,694.96/662,449.56 = 142,202.32/x
  3. Step 3: Cross multiply
    441,694.96x = 662,449.56 × 142,202.32
  4. Step 4: Simplify right side
    441,694.96x = 94,201,864,314.98
  5. Step 5: Solve for x
    x = 94,201,864,314.98/441,694.96
  6. Step 6: Final answer
    x = 213,273.58

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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.