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Finding the Fourth Proportional to 269,677.44, 404,573.76 and 103,464

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Solution

The fourth proportional to 269,677.44, 404,573.76 and 103,464 is: 155,218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,677.44 : 404,573.76 = 103,464 : x
  2. Step 2: Convert to fraction form
    269,677.44/404,573.76 = 103,464/x
  3. Step 3: Cross multiply
    269,677.44x = 404,573.76 × 103,464
  4. Step 4: Simplify right side
    269,677.44x = 41,858,819,504.64
  5. Step 5: Solve for x
    x = 41,858,819,504.64/269,677.44
  6. Step 6: Final answer
    x = 155,218.10

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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.