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Finding the Fourth Proportional to 511,167.81, 705,414.32 and 293,359.12

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Solution

The fourth proportional to 511,167.81, 705,414.32 and 293,359.12 is: 404,837.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,167.81 : 705,414.32 = 293,359.12 : x
  2. Step 2: Convert to fraction form
    511,167.81/705,414.32 = 293,359.12/x
  3. Step 3: Cross multiply
    511,167.81x = 705,414.32 × 293,359.12
  4. Step 4: Simplify right side
    511,167.81x = 206,939,722,020.36
  5. Step 5: Solve for x
    x = 206,939,722,020.36/511,167.81
  6. Step 6: Final answer
    x = 404,837.15

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Why These Related Problems?

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