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Finding the Fourth Proportional to 809,855.69, 1,117,817.01 and 465,729.21

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Solution

The fourth proportional to 809,855.69, 1,117,817.01 and 465,729.21 is: 642,830.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,855.69 : 1,117,817.01 = 465,729.21 : x
  2. Step 2: Convert to fraction form
    809,855.69/1,117,817.01 = 465,729.21/x
  3. Step 3: Cross multiply
    809,855.69x = 1,117,817.01 × 465,729.21
  4. Step 4: Simplify right side
    809,855.69x = 520,600,032,991.86
  5. Step 5: Solve for x
    x = 520,600,032,991.86/809,855.69
  6. Step 6: Final answer
    x = 642,830.62

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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.