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Finding the Fourth Proportional to 550,586.70, 825,634.01 and 213,515.33

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Solution

The fourth proportional to 550,586.70, 825,634.01 and 213,515.33 is: 320,177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,586.70 : 825,634.01 = 213,515.33 : x
  2. Step 2: Convert to fraction form
    550,586.70/825,634.01 = 213,515.33/x
  3. Step 3: Cross multiply
    550,586.70x = 825,634.01 × 213,515.33
  4. Step 4: Simplify right side
    550,586.70x = 176,285,512,908.63
  5. Step 5: Solve for x
    x = 176,285,512,908.63/550,586.70
  6. Step 6: Final answer
    x = 320,177.57

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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.