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Finding the Fourth Proportional to 827,329.75, 1,141,653.67 and 464,813.99

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Solution

The fourth proportional to 827,329.75, 1,141,653.67 and 464,813.99 is: 641,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,329.75 : 1,141,653.67 = 464,813.99 : x
  2. Step 2: Convert to fraction form
    827,329.75/1,141,653.67 = 464,813.99/x
  3. Step 3: Cross multiply
    827,329.75x = 1,141,653.67 × 464,813.99
  4. Step 4: Simplify right side
    827,329.75x = 530,656,597,550.84
  5. Step 5: Solve for x
    x = 530,656,597,550.84/827,329.75
  6. Step 6: Final answer
    x = 641,408.82

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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.