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Finding the Fourth Proportional to 547,843.50, 821,896.47 and 173,866.50

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Solution

The fourth proportional to 547,843.50, 821,896.47 and 173,866.50 is: 260,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,843.50 : 821,896.47 = 173,866.50 : x
  2. Step 2: Convert to fraction form
    547,843.50/821,896.47 = 173,866.50/x
  3. Step 3: Cross multiply
    547,843.50x = 821,896.47 × 173,866.50
  4. Step 4: Simplify right side
    547,843.50x = 142,900,262,601.26
  5. Step 5: Solve for x
    x = 142,900,262,601.26/547,843.50
  6. Step 6: Final answer
    x = 260,841.39

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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.