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Finding the Fourth Proportional to 414,584.17, 620,879.70 and 236,551.45

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Solution

The fourth proportional to 414,584.17, 620,879.70 and 236,551.45 is: 354,258.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,584.17 : 620,879.70 = 236,551.45 : x
  2. Step 2: Convert to fraction form
    414,584.17/620,879.70 = 236,551.45/x
  3. Step 3: Cross multiply
    414,584.17x = 620,879.70 × 236,551.45
  4. Step 4: Simplify right side
    414,584.17x = 146,869,993,310.57
  5. Step 5: Solve for x
    x = 146,869,993,310.57/414,584.17
  6. Step 6: Final answer
    x = 354,258.57

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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.