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Finding the Fourth Proportional to 468,446.40, 702,997.65 and 202,397.85

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Solution

The fourth proportional to 468,446.40, 702,997.65 and 202,397.85 is: 303,738.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,446.40 : 702,997.65 = 202,397.85 : x
  2. Step 2: Convert to fraction form
    468,446.40/702,997.65 = 202,397.85/x
  3. Step 3: Cross multiply
    468,446.40x = 702,997.65 × 202,397.85
  4. Step 4: Simplify right side
    468,446.40x = 142,285,212,915.05
  5. Step 5: Solve for x
    x = 142,285,212,915.05/468,446.40
  6. Step 6: Final answer
    x = 303,738.51

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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.