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Finding the Fourth Proportional to 269,718.32, 404,597.36 and 77,584.97

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Solution

The fourth proportional to 269,718.32, 404,597.36 and 77,584.97 is: 116,383.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,718.32 : 404,597.36 = 77,584.97 : x
  2. Step 2: Convert to fraction form
    269,718.32/404,597.36 = 77,584.97/x
  3. Step 3: Cross multiply
    269,718.32x = 404,597.36 × 77,584.97
  4. Step 4: Simplify right side
    269,718.32x = 31,390,675,243.14
  5. Step 5: Solve for x
    x = 31,390,675,243.14/269,718.32
  6. Step 6: Final answer
    x = 116,383.18

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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.