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Finding the Fourth Proportional to 809,206.80, 1,214,808.60 and 509,686.80

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Solution

The fourth proportional to 809,206.80, 1,214,808.60 and 509,686.80 is: 765,159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,206.80 : 1,214,808.60 = 509,686.80 : x
  2. Step 2: Convert to fraction form
    809,206.80/1,214,808.60 = 509,686.80/x
  3. Step 3: Cross multiply
    809,206.80x = 1,214,808.60 × 509,686.80
  4. Step 4: Simplify right side
    809,206.80x = 619,171,907,946.48
  5. Step 5: Solve for x
    x = 619,171,907,946.48/809,206.80
  6. Step 6: Final answer
    x = 765,159.05

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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.