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Finding the Fourth Proportional to 809,006.20, 1,213,339.20 and 409,271.20

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Solution

The fourth proportional to 809,006.20, 1,213,339.20 and 409,271.20 is: 613,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,006.20 : 1,213,339.20 = 409,271.20 : x
  2. Step 2: Convert to fraction form
    809,006.20/1,213,339.20 = 409,271.20/x
  3. Step 3: Cross multiply
    809,006.20x = 1,213,339.20 × 409,271.20
  4. Step 4: Simplify right side
    809,006.20x = 496,584,790,391.04
  5. Step 5: Solve for x
    x = 496,584,790,391.04/809,006.20
  6. Step 6: Final answer
    x = 613,820.75

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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.