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Finding the Fourth Proportional to 309,057.32, 462,984.56 and 227,856.44

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Solution

The fourth proportional to 309,057.32, 462,984.56 and 227,856.44 is: 341,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,057.32 : 462,984.56 = 227,856.44 : x
  2. Step 2: Convert to fraction form
    309,057.32/462,984.56 = 227,856.44/x
  3. Step 3: Cross multiply
    309,057.32x = 462,984.56 × 227,856.44
  4. Step 4: Simplify right side
    309,057.32x = 105,494,014,489.21
  5. Step 5: Solve for x
    x = 105,494,014,489.21/309,057.32
  6. Step 6: Final answer
    x = 341,341.26

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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.