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Finding the Fourth Proportional to 377,839.44, 521,421.84 and 208,074.24

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Solution

The fourth proportional to 377,839.44, 521,421.84 and 208,074.24 is: 287,144.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,839.44 : 521,421.84 = 208,074.24 : x
  2. Step 2: Convert to fraction form
    377,839.44/521,421.84 = 208,074.24/x
  3. Step 3: Cross multiply
    377,839.44x = 521,421.84 × 208,074.24
  4. Step 4: Simplify right side
    377,839.44x = 108,494,453,077.40
  5. Step 5: Solve for x
    x = 108,494,453,077.40/377,839.44
  6. Step 6: Final answer
    x = 287,144.33

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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.