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Finding the Fourth Proportional to 468,883.50, 647,072.46 and 264,943.05

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Solution

The fourth proportional to 468,883.50, 647,072.46 and 264,943.05 is: 365,628.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,883.50 : 647,072.46 = 264,943.05 : x
  2. Step 2: Convert to fraction form
    468,883.50/647,072.46 = 264,943.05/x
  3. Step 3: Cross multiply
    468,883.50x = 647,072.46 × 264,943.05
  4. Step 4: Simplify right side
    468,883.50x = 171,437,351,123.40
  5. Step 5: Solve for x
    x = 171,437,351,123.40/468,883.50
  6. Step 6: Final answer
    x = 365,628.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.