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Finding the Fourth Proportional to 354,318.56, 531,546.24 and 114,497

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Solution

The fourth proportional to 354,318.56, 531,546.24 and 114,497 is: 171,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,318.56 : 531,546.24 = 114,497 : x
  2. Step 2: Convert to fraction form
    354,318.56/531,546.24 = 114,497/x
  3. Step 3: Cross multiply
    354,318.56x = 531,546.24 × 114,497
  4. Step 4: Simplify right side
    354,318.56x = 60,860,449,841.28
  5. Step 5: Solve for x
    x = 60,860,449,841.28/354,318.56
  6. Step 6: Final answer
    x = 171,767.60

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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.