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Finding the Fourth Proportional to 409,716.20, 615,035.10 and 316,634.60

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Solution

The fourth proportional to 409,716.20, 615,035.10 and 316,634.60 is: 475,308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,716.20 : 615,035.10 = 316,634.60 : x
  2. Step 2: Convert to fraction form
    409,716.20/615,035.10 = 316,634.60/x
  3. Step 3: Cross multiply
    409,716.20x = 615,035.10 × 316,634.60
  4. Step 4: Simplify right side
    409,716.20x = 194,741,392,874.46
  5. Step 5: Solve for x
    x = 194,741,392,874.46/409,716.20
  6. Step 6: Final answer
    x = 475,308.01

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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.