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Finding the Fourth Proportional to 410,824.60, 615,200.10 and 327,880.60

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Solution

The fourth proportional to 410,824.60, 615,200.10 and 327,880.60 is: 490,993.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,824.60 : 615,200.10 = 327,880.60 : x
  2. Step 2: Convert to fraction form
    410,824.60/615,200.10 = 327,880.60/x
  3. Step 3: Cross multiply
    410,824.60x = 615,200.10 × 327,880.60
  4. Step 4: Simplify right side
    410,824.60x = 201,712,177,908.06
  5. Step 5: Solve for x
    x = 201,712,177,908.06/410,824.60
  6. Step 6: Final answer
    x = 490,993.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.