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Finding the Fourth Proportional to 381,478.14, 570,892.59 and 237,324.74

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Solution

The fourth proportional to 381,478.14, 570,892.59 and 237,324.74 is: 355,163.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,478.14 : 570,892.59 = 237,324.74 : x
  2. Step 2: Convert to fraction form
    381,478.14/570,892.59 = 237,324.74/x
  3. Step 3: Cross multiply
    381,478.14x = 570,892.59 × 237,324.74
  4. Step 4: Simplify right side
    381,478.14x = 135,486,932,635.21
  5. Step 5: Solve for x
    x = 135,486,932,635.21/381,478.14
  6. Step 6: Final answer
    x = 355,163.03

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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.