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Finding the Fourth Proportional to 511,377.78, 767,177.46 and 195,834.72

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Solution

The fourth proportional to 511,377.78, 767,177.46 and 195,834.72 is: 293,794.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,377.78 : 767,177.46 = 195,834.72 : x
  2. Step 2: Convert to fraction form
    511,377.78/767,177.46 = 195,834.72/x
  3. Step 3: Cross multiply
    511,377.78x = 767,177.46 × 195,834.72
  4. Step 4: Simplify right side
    511,377.78x = 150,239,983,069.41
  5. Step 5: Solve for x
    x = 150,239,983,069.41/511,377.78
  6. Step 6: Final answer
    x = 293,794.51

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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.