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Finding the Fourth Proportional to 631,453.96, 946,519.36 and 294,216.54

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Solution

The fourth proportional to 631,453.96, 946,519.36 and 294,216.54 is: 441,016.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,453.96 : 946,519.36 = 294,216.54 : x
  2. Step 2: Convert to fraction form
    631,453.96/946,519.36 = 294,216.54/x
  3. Step 3: Cross multiply
    631,453.96x = 946,519.36 × 294,216.54
  4. Step 4: Simplify right side
    631,453.96x = 278,481,646,857.23
  5. Step 5: Solve for x
    x = 278,481,646,857.23/631,453.96
  6. Step 6: Final answer
    x = 441,016.55

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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.