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Finding the Fourth Proportional to 631,456.96, 946,523.86 and 294,219.54

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Solution

The fourth proportional to 631,456.96, 946,523.86 and 294,219.54 is: 441,021.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,456.96 : 946,523.86 = 294,219.54 : x
  2. Step 2: Convert to fraction form
    631,456.96/946,523.86 = 294,219.54/x
  3. Step 3: Cross multiply
    631,456.96x = 946,523.86 × 294,219.54
  4. Step 4: Simplify right side
    631,456.96x = 278,485,814,688.22
  5. Step 5: Solve for x
    x = 278,485,814,688.22/631,456.96
  6. Step 6: Final answer
    x = 441,021.06

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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.