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Finding the Fourth Proportional to 809,089.40, 1,214,411.70 and 410,180.60

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Solution

The fourth proportional to 809,089.40, 1,214,411.70 and 410,180.60 is: 615,665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,089.40 : 1,214,411.70 = 410,180.60 : x
  2. Step 2: Convert to fraction form
    809,089.40/1,214,411.70 = 410,180.60/x
  3. Step 3: Cross multiply
    809,089.40x = 1,214,411.70 × 410,180.60
  4. Step 4: Simplify right side
    809,089.40x = 498,128,119,753.02
  5. Step 5: Solve for x
    x = 498,128,119,753.02/809,089.40
  6. Step 6: Final answer
    x = 615,665.12

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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.