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Finding the Fourth Proportional to 398,830.51, 550,387.79 and 217,546.33

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Solution

The fourth proportional to 398,830.51, 550,387.79 and 217,546.33 is: 300,214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,830.51 : 550,387.79 = 217,546.33 : x
  2. Step 2: Convert to fraction form
    398,830.51/550,387.79 = 217,546.33/x
  3. Step 3: Cross multiply
    398,830.51x = 550,387.79 × 217,546.33
  4. Step 4: Simplify right side
    398,830.51x = 119,734,843,791.31
  5. Step 5: Solve for x
    x = 119,734,843,791.31/398,830.51
  6. Step 6: Final answer
    x = 300,214.86

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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.