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Finding the Fourth Proportional to 397,402.86, 548,405.19 and 225,352.38

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Solution

The fourth proportional to 397,402.86, 548,405.19 and 225,352.38 is: 310,980.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,402.86 : 548,405.19 = 225,352.38 : x
  2. Step 2: Convert to fraction form
    397,402.86/548,405.19 = 225,352.38/x
  3. Step 3: Cross multiply
    397,402.86x = 548,405.19 × 225,352.38
  4. Step 4: Simplify right side
    397,402.86x = 123,584,414,770.85
  5. Step 5: Solve for x
    x = 123,584,414,770.85/397,402.86
  6. Step 6: Final answer
    x = 310,980.18

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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.