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Finding the Fourth Proportional to 511,361.25, 767,152.60 and 195,818.17

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Solution

The fourth proportional to 511,361.25, 767,152.60 and 195,818.17 is: 293,769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,361.25 : 767,152.60 = 195,818.17 : x
  2. Step 2: Convert to fraction form
    511,361.25/767,152.60 = 195,818.17/x
  3. Step 3: Cross multiply
    511,361.25x = 767,152.60 × 195,818.17
  4. Step 4: Simplify right side
    511,361.25x = 150,222,418,242.74
  5. Step 5: Solve for x
    x = 150,222,418,242.74/511,361.25
  6. Step 6: Final answer
    x = 293,769.66

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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.