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Finding the Fourth Proportional to 511,231.80, 705,502.26 and 293,422.80

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Solution

The fourth proportional to 511,231.80, 705,502.26 and 293,422.80 is: 404,924.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,231.80 : 705,502.26 = 293,422.80 : x
  2. Step 2: Convert to fraction form
    511,231.80/705,502.26 = 293,422.80/x
  3. Step 3: Cross multiply
    511,231.80x = 705,502.26 × 293,422.80
  4. Step 4: Simplify right side
    511,231.80x = 207,010,448,535.53
  5. Step 5: Solve for x
    x = 207,010,448,535.53/511,231.80
  6. Step 6: Final answer
    x = 404,924.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.