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Finding the Fourth Proportional to 585,584.78, 878,391.74 and 164,857.82

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Solution

The fourth proportional to 585,584.78, 878,391.74 and 164,857.82 is: 247,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,584.78 : 878,391.74 = 164,857.82 : x
  2. Step 2: Convert to fraction form
    585,584.78/878,391.74 = 164,857.82/x
  3. Step 3: Cross multiply
    585,584.78x = 878,391.74 × 164,857.82
  4. Step 4: Simplify right side
    585,584.78x = 144,809,743,382.59
  5. Step 5: Solve for x
    x = 144,809,743,382.59/585,584.78
  6. Step 6: Final answer
    x = 247,290.83

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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.