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Finding the Fourth Proportional to 409,813.20, 615,180.60 and 316,731.60

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Solution

The fourth proportional to 409,813.20, 615,180.60 and 316,731.60 is: 475,453.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,813.20 : 615,180.60 = 316,731.60 : x
  2. Step 2: Convert to fraction form
    409,813.20/615,180.60 = 316,731.60/x
  3. Step 3: Cross multiply
    409,813.20x = 615,180.60 × 316,731.60
  4. Step 4: Simplify right side
    409,813.20x = 194,847,135,726.96
  5. Step 5: Solve for x
    x = 194,847,135,726.96/409,813.20
  6. Step 6: Final answer
    x = 475,453.54

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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.