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Finding the Fourth Proportional to 465,381.84, 699,122.52 and 278,524.56

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Solution

The fourth proportional to 465,381.84, 699,122.52 and 278,524.56 is: 418,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,381.84 : 699,122.52 = 278,524.56 : x
  2. Step 2: Convert to fraction form
    465,381.84/699,122.52 = 278,524.56/x
  3. Step 3: Cross multiply
    465,381.84x = 699,122.52 × 278,524.56
  4. Step 4: Simplify right side
    465,381.84x = 194,722,792,269.09
  5. Step 5: Solve for x
    x = 194,722,792,269.09/465,381.84
  6. Step 6: Final answer
    x = 418,415.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.