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Finding the Fourth Proportional to 511,366.75, 767,160.86 and 195,823.68

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Solution

The fourth proportional to 511,366.75, 767,160.86 and 195,823.68 is: 293,777.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,366.75 : 767,160.86 = 195,823.68 : x
  2. Step 2: Convert to fraction form
    511,366.75/767,160.86 = 195,823.68/x
  3. Step 3: Cross multiply
    511,366.75x = 767,160.86 × 195,823.68
  4. Step 4: Simplify right side
    511,366.75x = 150,228,262,757.17
  5. Step 5: Solve for x
    x = 150,228,262,757.17/511,366.75
  6. Step 6: Final answer
    x = 293,777.93

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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.