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Finding the Fourth Proportional to 511,372.06, 705,537.03 and 296,469.23

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Solution

The fourth proportional to 511,372.06, 705,537.03 and 296,469.23 is: 409,036.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,372.06 : 705,537.03 = 296,469.23 : x
  2. Step 2: Convert to fraction form
    511,372.06/705,537.03 = 296,469.23/x
  3. Step 3: Cross multiply
    511,372.06x = 705,537.03 × 296,469.23
  4. Step 4: Simplify right side
    511,372.06x = 209,170,017,604.66
  5. Step 5: Solve for x
    x = 209,170,017,604.66/511,372.06
  6. Step 6: Final answer
    x = 409,036.85

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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.