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Finding the Fourth Proportional to 410,200.60, 615,300.90 and 327,256.60

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Solution

The fourth proportional to 410,200.60, 615,300.90 and 327,256.60 is: 490,884.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,200.60 : 615,300.90 = 327,256.60 : x
  2. Step 2: Convert to fraction form
    410,200.60/615,300.90 = 327,256.60/x
  3. Step 3: Cross multiply
    410,200.60x = 615,300.90 × 327,256.60
  4. Step 4: Simplify right side
    410,200.60x = 201,361,280,510.94
  5. Step 5: Solve for x
    x = 201,361,280,510.94/410,200.60
  6. Step 6: Final answer
    x = 490,884.90

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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.