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Finding the Fourth Proportional to 297,551.24, 410,066.88 and 202,061.96

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Solution

The fourth proportional to 297,551.24, 410,066.88 and 202,061.96 is: 278,469.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,551.24 : 410,066.88 = 202,061.96 : x
  2. Step 2: Convert to fraction form
    297,551.24/410,066.88 = 202,061.96/x
  3. Step 3: Cross multiply
    297,551.24x = 410,066.88 × 202,061.96
  4. Step 4: Simplify right side
    297,551.24x = 82,858,917,503.88
  5. Step 5: Solve for x
    x = 82,858,917,503.88/297,551.24
  6. Step 6: Final answer
    x = 278,469.41

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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.