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Finding the Fourth Proportional to 705,832.94, 973,970.39 and 399,843.80

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Solution

The fourth proportional to 705,832.94, 973,970.39 and 399,843.80 is: 551,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,832.94 : 973,970.39 = 399,843.80 : x
  2. Step 2: Convert to fraction form
    705,832.94/973,970.39 = 399,843.80/x
  3. Step 3: Cross multiply
    705,832.94x = 973,970.39 × 399,843.80
  4. Step 4: Simplify right side
    705,832.94x = 389,436,014,956.01
  5. Step 5: Solve for x
    x = 389,436,014,956.01/705,832.94
  6. Step 6: Final answer
    x = 551,739.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.