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Finding the Fourth Proportional to 557,761.69, 769,493.82 and 412,914.18

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Solution

The fourth proportional to 557,761.69, 769,493.82 and 412,914.18 is: 569,660.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,761.69 : 769,493.82 = 412,914.18 : x
  2. Step 2: Convert to fraction form
    557,761.69/769,493.82 = 412,914.18/x
  3. Step 3: Cross multiply
    557,761.69x = 769,493.82 × 412,914.18
  4. Step 4: Simplify right side
    557,761.69x = 317,734,909,700.37
  5. Step 5: Solve for x
    x = 317,734,909,700.37/557,761.69
  6. Step 6: Final answer
    x = 569,660.69

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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.