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Finding the Fourth Proportional to 414,080.34, 620,677.62 and 189,103.65

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Solution

The fourth proportional to 414,080.34, 620,677.62 and 189,103.65 is: 283,453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,080.34 : 620,677.62 = 189,103.65 : x
  2. Step 2: Convert to fraction form
    414,080.34/620,677.62 = 189,103.65/x
  3. Step 3: Cross multiply
    414,080.34x = 620,677.62 × 189,103.65
  4. Step 4: Simplify right side
    414,080.34x = 117,372,401,087.77
  5. Step 5: Solve for x
    x = 117,372,401,087.77/414,080.34
  6. Step 6: Final answer
    x = 283,453.21

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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.