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Finding the Fourth Proportional to 397,216.55, 548,025.42 and 225,121.01

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Solution

The fourth proportional to 397,216.55, 548,025.42 and 225,121.01 is: 310,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,216.55 : 548,025.42 = 225,121.01 : x
  2. Step 2: Convert to fraction form
    397,216.55/548,025.42 = 225,121.01/x
  3. Step 3: Cross multiply
    397,216.55x = 548,025.42 × 225,121.01
  4. Step 4: Simplify right side
    397,216.55x = 123,372,036,056.07
  5. Step 5: Solve for x
    x = 123,372,036,056.07/397,216.55
  6. Step 6: Final answer
    x = 310,591.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.