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Finding the Fourth Proportional to 511,976.27, 767,391.93 and 191,820.12

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Solution

The fourth proportional to 511,976.27, 767,391.93 and 191,820.12 is: 287,515.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,976.27 : 767,391.93 = 191,820.12 : x
  2. Step 2: Convert to fraction form
    511,976.27/767,391.93 = 191,820.12/x
  3. Step 3: Cross multiply
    511,976.27x = 767,391.93 × 191,820.12
  4. Step 4: Simplify right side
    511,976.27x = 147,201,212,099.63
  5. Step 5: Solve for x
    x = 147,201,212,099.63/511,976.27
  6. Step 6: Final answer
    x = 287,515.70

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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.