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Finding the Fourth Proportional to 414,370.72, 620,803.44 and 189,917.92

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Solution

The fourth proportional to 414,370.72, 620,803.44 and 189,917.92 is: 284,531.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,370.72 : 620,803.44 = 189,917.92 : x
  2. Step 2: Convert to fraction form
    414,370.72/620,803.44 = 189,917.92/x
  3. Step 3: Cross multiply
    414,370.72x = 620,803.44 × 189,917.92
  4. Step 4: Simplify right side
    414,370.72x = 117,901,698,053.65
  5. Step 5: Solve for x
    x = 117,901,698,053.65/414,370.72
  6. Step 6: Final answer
    x = 284,531.92

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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.