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Finding the Fourth Proportional to 705,701.57, 973,653.62 and 399,729.33

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Solution

The fourth proportional to 705,701.57, 973,653.62 and 399,729.33 is: 551,504.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,701.57 : 973,653.62 = 399,729.33 : x
  2. Step 2: Convert to fraction form
    705,701.57/973,653.62 = 399,729.33/x
  3. Step 3: Cross multiply
    705,701.57x = 973,653.62 × 399,729.33
  4. Step 4: Simplify right side
    705,701.57x = 389,197,907,176.03
  5. Step 5: Solve for x
    x = 389,197,907,176.03/705,701.57
  6. Step 6: Final answer
    x = 551,504.95

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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.