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Finding the Fourth Proportional to 769,560.96, 1,061,992.44 and 430,029.22

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Solution

The fourth proportional to 769,560.96, 1,061,992.44 and 430,029.22 is: 593,439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,560.96 : 1,061,992.44 = 430,029.22 : x
  2. Step 2: Convert to fraction form
    769,560.96/1,061,992.44 = 430,029.22/x
  3. Step 3: Cross multiply
    769,560.96x = 1,061,992.44 × 430,029.22
  4. Step 4: Simplify right side
    769,560.96x = 456,687,780,619.10
  5. Step 5: Solve for x
    x = 456,687,780,619.10/769,560.96
  6. Step 6: Final answer
    x = 593,439.38

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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.