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Finding the Fourth Proportional to 511,511, 767,377.26 and 195,967.92

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Solution

The fourth proportional to 511,511, 767,377.26 and 195,967.92 is: 293,994.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,511 : 767,377.26 = 195,967.92 : x
  2. Step 2: Convert to fraction form
    511,511/767,377.26 = 195,967.92/x
  3. Step 3: Cross multiply
    511,511x = 767,377.26 × 195,967.92
  4. Step 4: Simplify right side
    511,511x = 150,381,325,497.50
  5. Step 5: Solve for x
    x = 150,381,325,497.50/511,511
  6. Step 6: Final answer
    x = 293,994.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.