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Finding the Fourth Proportional to 806,428.80, 1,209,643.20 and 682,012.80

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Solution

The fourth proportional to 806,428.80, 1,209,643.20 and 682,012.80 is: 1,023,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,428.80 : 1,209,643.20 = 682,012.80 : x
  2. Step 2: Convert to fraction form
    806,428.80/1,209,643.20 = 682,012.80/x
  3. Step 3: Cross multiply
    806,428.80x = 1,209,643.20 × 682,012.80
  4. Step 4: Simplify right side
    806,428.80x = 824,992,145,832.96
  5. Step 5: Solve for x
    x = 824,992,145,832.96/806,428.80
  6. Step 6: Final answer
    x = 1,023,019.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.