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Finding the Fourth Proportional to 511,012.34, 705,040.92 and 296,110.88

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Solution

The fourth proportional to 511,012.34, 705,040.92 and 296,110.88 is: 408,542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,012.34 : 705,040.92 = 296,110.88 : x
  2. Step 2: Convert to fraction form
    511,012.34/705,040.92 = 296,110.88/x
  3. Step 3: Cross multiply
    511,012.34x = 705,040.92 × 296,110.88
  4. Step 4: Simplify right side
    511,012.34x = 208,770,287,257.21
  5. Step 5: Solve for x
    x = 208,770,287,257.21/511,012.34
  6. Step 6: Final answer
    x = 408,542.56

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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.