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Finding the Fourth Proportional to 397,368.79, 548,352.24 and 225,298.33

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Solution

The fourth proportional to 397,368.79, 548,352.24 and 225,298.33 is: 310,902.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,368.79 : 548,352.24 = 225,298.33 : x
  2. Step 2: Convert to fraction form
    397,368.79/548,352.24 = 225,298.33/x
  3. Step 3: Cross multiply
    397,368.79x = 548,352.24 × 225,298.33
  4. Step 4: Simplify right side
    397,368.79x = 123,542,846,059.79
  5. Step 5: Solve for x
    x = 123,542,846,059.79/397,368.79
  6. Step 6: Final answer
    x = 310,902.24

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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.