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Finding the Fourth Proportional to 269,544.80, 404,414.40 and 259,824.80

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Solution

The fourth proportional to 269,544.80, 404,414.40 and 259,824.80 is: 389,830.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,544.80 : 404,414.40 = 259,824.80 : x
  2. Step 2: Convert to fraction form
    269,544.80/404,414.40 = 259,824.80/x
  3. Step 3: Cross multiply
    269,544.80x = 404,414.40 × 259,824.80
  4. Step 4: Simplify right side
    269,544.80x = 105,076,890,597.12
  5. Step 5: Solve for x
    x = 105,076,890,597.12/269,544.80
  6. Step 6: Final answer
    x = 389,830.89

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Why These Related Problems?

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