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Finding the Fourth Proportional to 705,701.82, 973,653.96 and 399,729.58

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Solution

The fourth proportional to 705,701.82, 973,653.96 and 399,729.58 is: 551,505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,701.82 : 973,653.96 = 399,729.58 : x
  2. Step 2: Convert to fraction form
    705,701.82/973,653.96 = 399,729.58/x
  3. Step 3: Cross multiply
    705,701.82x = 973,653.96 × 399,729.58
  4. Step 4: Simplify right side
    705,701.82x = 389,198,288,496.14
  5. Step 5: Solve for x
    x = 389,198,288,496.14/705,701.82
  6. Step 6: Final answer
    x = 551,505.30

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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.