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Finding the Fourth Proportional to 269,464.50, 404,195.13 and 69,784.38

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Solution

The fourth proportional to 269,464.50, 404,195.13 and 69,784.38 is: 104,676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,464.50 : 404,195.13 = 69,784.38 : x
  2. Step 2: Convert to fraction form
    269,464.50/404,195.13 = 69,784.38/x
  3. Step 3: Cross multiply
    269,464.50x = 404,195.13 × 69,784.38
  4. Step 4: Simplify right side
    269,464.50x = 28,206,506,546.07
  5. Step 5: Solve for x
    x = 28,206,506,546.07/269,464.50
  6. Step 6: Final answer
    x = 104,676.15

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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.