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Finding the Fourth Proportional to 441,216.76, 661,825.20 and 308,356.51

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Solution

The fourth proportional to 441,216.76, 661,825.20 and 308,356.51 is: 462,534.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,216.76 : 661,825.20 = 308,356.51 : x
  2. Step 2: Convert to fraction form
    441,216.76/661,825.20 = 308,356.51/x
  3. Step 3: Cross multiply
    441,216.76x = 661,825.20 × 308,356.51
  4. Step 4: Simplify right side
    441,216.76x = 204,078,108,902.05
  5. Step 5: Solve for x
    x = 204,078,108,902.05/441,216.76
  6. Step 6: Final answer
    x = 462,534.81

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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.