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Finding the Fourth Proportional to 297,537.24, 410,604.30 and 163,401.24

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Solution

The fourth proportional to 297,537.24, 410,604.30 and 163,401.24 is: 225,495.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,537.24 : 410,604.30 = 163,401.24 : x
  2. Step 2: Convert to fraction form
    297,537.24/410,604.30 = 163,401.24/x
  3. Step 3: Cross multiply
    297,537.24x = 410,604.30 × 163,401.24
  4. Step 4: Simplify right side
    297,537.24x = 67,093,251,769.33
  5. Step 5: Solve for x
    x = 67,093,251,769.33/297,537.24
  6. Step 6: Final answer
    x = 225,495.31

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