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Finding the Fourth Proportional to 384,250.54, 575,194.74 and 327,563.50

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Solution

The fourth proportional to 384,250.54, 575,194.74 and 327,563.50 is: 490,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,250.54 : 575,194.74 = 327,563.50 : x
  2. Step 2: Convert to fraction form
    384,250.54/575,194.74 = 327,563.50/x
  3. Step 3: Cross multiply
    384,250.54x = 575,194.74 × 327,563.50
  4. Step 4: Simplify right side
    384,250.54x = 188,412,802,215.99
  5. Step 5: Solve for x
    x = 188,412,802,215.99/384,250.54
  6. Step 6: Final answer
    x = 490,338.42

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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.