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Finding the Fourth Proportional to 410,066.40, 615,099.60 and 378,573.60

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Solution

The fourth proportional to 410,066.40, 615,099.60 and 378,573.60 is: 567,860.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,066.40 : 615,099.60 = 378,573.60 : x
  2. Step 2: Convert to fraction form
    410,066.40/615,099.60 = 378,573.60/x
  3. Step 3: Cross multiply
    410,066.40x = 615,099.60 × 378,573.60
  4. Step 4: Simplify right side
    410,066.40x = 232,860,469,930.56
  5. Step 5: Solve for x
    x = 232,860,469,930.56/410,066.40
  6. Step 6: Final answer
    x = 567,860.40

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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.