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Finding the Fourth Proportional to 414,767.70, 621,154.89 and 236,734.97

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Solution

The fourth proportional to 414,767.70, 621,154.89 and 236,734.97 is: 354,533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,767.70 : 621,154.89 = 236,734.97 : x
  2. Step 2: Convert to fraction form
    414,767.70/621,154.89 = 236,734.97/x
  3. Step 3: Cross multiply
    414,767.70x = 621,154.89 × 236,734.97
  4. Step 4: Simplify right side
    414,767.70x = 147,049,081,143.73
  5. Step 5: Solve for x
    x = 147,049,081,143.73/414,767.70
  6. Step 6: Final answer
    x = 354,533.59

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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.