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Finding the Fourth Proportional to 550,266.24, 825,583.98 and 213,317.88

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Solution

The fourth proportional to 550,266.24, 825,583.98 and 213,317.88 is: 320,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,266.24 : 825,583.98 = 213,317.88 : x
  2. Step 2: Convert to fraction form
    550,266.24/825,583.98 = 213,317.88/x
  3. Step 3: Cross multiply
    550,266.24x = 825,583.98 × 213,317.88
  4. Step 4: Simplify right side
    550,266.24x = 176,111,824,375.56
  5. Step 5: Solve for x
    x = 176,111,824,375.56/550,266.24
  6. Step 6: Final answer
    x = 320,048.39

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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.