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Finding the Fourth Proportional to 705,832.44, 973,969.70 and 399,843.29

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Solution

The fourth proportional to 705,832.44, 973,969.70 and 399,843.29 is: 551,738.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,832.44 : 973,969.70 = 399,843.29 : x
  2. Step 2: Convert to fraction form
    705,832.44/973,969.70 = 399,843.29/x
  3. Step 3: Cross multiply
    705,832.44x = 973,969.70 × 399,843.29
  4. Step 4: Simplify right side
    705,832.44x = 389,435,249,208.31
  5. Step 5: Solve for x
    x = 389,435,249,208.31/705,832.44
  6. Step 6: Final answer
    x = 551,738.95

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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.