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Finding the Fourth Proportional to 494,677.68, 741,930.48 and 228,415.56

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Solution

The fourth proportional to 494,677.68, 741,930.48 and 228,415.56 is: 342,583.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,677.68 : 741,930.48 = 228,415.56 : x
  2. Step 2: Convert to fraction form
    494,677.68/741,930.48 = 228,415.56/x
  3. Step 3: Cross multiply
    494,677.68x = 741,930.48 × 228,415.56
  4. Step 4: Simplify right side
    494,677.68x = 169,468,466,070.27
  5. Step 5: Solve for x
    x = 169,468,466,070.27/494,677.68
  6. Step 6: Final answer
    x = 342,583.61

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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.