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Finding the Fourth Proportional to 354,770.34, 531,872.94 and 204,840.57

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Solution

The fourth proportional to 354,770.34, 531,872.94 and 204,840.57 is: 307,097.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,770.34 : 531,872.94 = 204,840.57 : x
  2. Step 2: Convert to fraction form
    354,770.34/531,872.94 = 204,840.57/x
  3. Step 3: Cross multiply
    354,770.34x = 531,872.94 × 204,840.57
  4. Step 4: Simplify right side
    354,770.34x = 108,949,156,197.18
  5. Step 5: Solve for x
    x = 108,949,156,197.18/354,770.34
  6. Step 6: Final answer
    x = 307,097.70

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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.