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Finding the Fourth Proportional to 809,200.80, 1,213,655.40 and 509,144.40

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Solution

The fourth proportional to 809,200.80, 1,213,655.40 and 509,144.40 is: 763,624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,200.80 : 1,213,655.40 = 509,144.40 : x
  2. Step 2: Convert to fraction form
    809,200.80/1,213,655.40 = 509,144.40/x
  3. Step 3: Cross multiply
    809,200.80x = 1,213,655.40 × 509,144.40
  4. Step 4: Simplify right side
    809,200.80x = 617,925,850,439.76
  5. Step 5: Solve for x
    x = 617,925,850,439.76/809,200.80
  6. Step 6: Final answer
    x = 763,624.86

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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.