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Finding the Fourth Proportional to 519,083.77, 778,620.98 and 164,097.90

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Solution

The fourth proportional to 519,083.77, 778,620.98 and 164,097.90 is: 246,145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,083.77 : 778,620.98 = 164,097.90 : x
  2. Step 2: Convert to fraction form
    519,083.77/778,620.98 = 164,097.90/x
  3. Step 3: Cross multiply
    519,083.77x = 778,620.98 × 164,097.90
  4. Step 4: Simplify right side
    519,083.77x = 127,770,067,662.66
  5. Step 5: Solve for x
    x = 127,770,067,662.66/519,083.77
  6. Step 6: Final answer
    x = 246,145.37

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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.