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Finding the Fourth Proportional to 511,110.23, 705,315.57 and 293,354.75

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Solution

The fourth proportional to 511,110.23, 705,315.57 and 293,354.75 is: 404,820.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,110.23 : 705,315.57 = 293,354.75 : x
  2. Step 2: Convert to fraction form
    511,110.23/705,315.57 = 293,354.75/x
  3. Step 3: Cross multiply
    511,110.23x = 705,315.57 × 293,354.75
  4. Step 4: Simplify right side
    511,110.23x = 206,907,669,181.88
  5. Step 5: Solve for x
    x = 206,907,669,181.88/511,110.23
  6. Step 6: Final answer
    x = 404,820.05

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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.