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Finding the Fourth Proportional to 414,078.19, 620,674.41 and 189,101.50

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Solution

The fourth proportional to 414,078.19, 620,674.41 and 189,101.50 is: 283,450.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,078.19 : 620,674.41 = 189,101.50 : x
  2. Step 2: Convert to fraction form
    414,078.19/620,674.41 = 189,101.50/x
  3. Step 3: Cross multiply
    414,078.19x = 620,674.41 × 189,101.50
  4. Step 4: Simplify right side
    414,078.19x = 117,370,461,942.62
  5. Step 5: Solve for x
    x = 117,370,461,942.62/414,078.19
  6. Step 6: Final answer
    x = 283,450.00

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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.