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Finding the Fourth Proportional to 464,621.81, 641,403.38 and 311,604.03

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Solution

The fourth proportional to 464,621.81, 641,403.38 and 311,604.03 is: 430,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,621.81 : 641,403.38 = 311,604.03 : x
  2. Step 2: Convert to fraction form
    464,621.81/641,403.38 = 311,604.03/x
  3. Step 3: Cross multiply
    464,621.81x = 641,403.38 × 311,604.03
  4. Step 4: Simplify right side
    464,621.81x = 199,863,876,505.60
  5. Step 5: Solve for x
    x = 199,863,876,505.60/464,621.81
  6. Step 6: Final answer
    x = 430,164.65

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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.