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Finding the Fourth Proportional to 511,249.26, 705,525.36 and 307,416.90

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Solution

The fourth proportional to 511,249.26, 705,525.36 and 307,416.90 is: 424,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,249.26 : 705,525.36 = 307,416.90 : x
  2. Step 2: Convert to fraction form
    511,249.26/705,525.36 = 307,416.90/x
  3. Step 3: Cross multiply
    511,249.26x = 705,525.36 × 307,416.90
  4. Step 4: Simplify right side
    511,249.26x = 216,890,419,042.58
  5. Step 5: Solve for x
    x = 216,890,419,042.58/511,249.26
  6. Step 6: Final answer
    x = 424,236.15

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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.