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Finding the Fourth Proportional to 511,196.97, 705,611.61 and 329,909.25

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Solution

The fourth proportional to 511,196.97, 705,611.61 and 329,909.25 is: 455,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,196.97 : 705,611.61 = 329,909.25 : x
  2. Step 2: Convert to fraction form
    511,196.97/705,611.61 = 329,909.25/x
  3. Step 3: Cross multiply
    511,196.97x = 705,611.61 × 329,909.25
  4. Step 4: Simplify right side
    511,196.97x = 232,787,797,046.39
  5. Step 5: Solve for x
    x = 232,787,797,046.39/511,196.97
  6. Step 6: Final answer
    x = 455,377.89

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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.