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Finding the Fourth Proportional to 382,770.60, 527,675.96 and 269,241

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Solution

The fourth proportional to 382,770.60, 527,675.96 and 269,241 is: 371,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,770.60 : 527,675.96 = 269,241 : x
  2. Step 2: Convert to fraction form
    382,770.60/527,675.96 = 269,241/x
  3. Step 3: Cross multiply
    382,770.60x = 527,675.96 × 269,241
  4. Step 4: Simplify right side
    382,770.60x = 142,072,003,146.36
  5. Step 5: Solve for x
    x = 142,072,003,146.36/382,770.60
  6. Step 6: Final answer
    x = 371,167.49

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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.