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Finding the Fourth Proportional to 398,923.63, 550,513.41 and 217,634.27

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Solution

The fourth proportional to 398,923.63, 550,513.41 and 217,634.27 is: 300,334.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,923.63 : 550,513.41 = 217,634.27 : x
  2. Step 2: Convert to fraction form
    398,923.63/550,513.41 = 217,634.27/x
  3. Step 3: Cross multiply
    398,923.63x = 550,513.41 × 217,634.27
  4. Step 4: Simplify right side
    398,923.63x = 119,810,583,314.38
  5. Step 5: Solve for x
    x = 119,810,583,314.38/398,923.63
  6. Step 6: Final answer
    x = 300,334.63

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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.