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Finding the Fourth Proportional to 511,967.75, 766,923.51 and 255,026.42

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Solution

The fourth proportional to 511,967.75, 766,923.51 and 255,026.42 is: 382,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,967.75 : 766,923.51 = 255,026.42 : x
  2. Step 2: Convert to fraction form
    511,967.75/766,923.51 = 255,026.42/x
  3. Step 3: Cross multiply
    511,967.75x = 766,923.51 × 255,026.42
  4. Step 4: Simplify right side
    511,967.75x = 195,585,757,169.13
  5. Step 5: Solve for x
    x = 195,585,757,169.13/511,967.75
  6. Step 6: Final answer
    x = 382,027.50

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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.