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Finding the Fourth Proportional to 397,717.92, 548,858 and 218,866.08

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Solution

The fourth proportional to 397,717.92, 548,858 and 218,866.08 is: 302,039.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,717.92 : 548,858 = 218,866.08 : x
  2. Step 2: Convert to fraction form
    397,717.92/548,858 = 218,866.08/x
  3. Step 3: Cross multiply
    397,717.92x = 548,858 × 218,866.08
  4. Step 4: Simplify right side
    397,717.92x = 120,126,398,936.64
  5. Step 5: Solve for x
    x = 120,126,398,936.64/397,717.92
  6. Step 6: Final answer
    x = 302,039.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.