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Finding the Fourth Proportional to 297,227, 445,877.76 and 97,568.12

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Solution

The fourth proportional to 297,227, 445,877.76 and 97,568.12 is: 146,364.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,227 : 445,877.76 = 97,568.12 : x
  2. Step 2: Convert to fraction form
    297,227/445,877.76 = 97,568.12/x
  3. Step 3: Cross multiply
    297,227x = 445,877.76 × 97,568.12
  4. Step 4: Simplify right side
    297,227x = 43,503,454,793.01
  5. Step 5: Solve for x
    x = 43,503,454,793.01/297,227
  6. Step 6: Final answer
    x = 146,364.41

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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.