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Finding the Fourth Proportional to 463,202.31, 638,711.58 and 301,757.97

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Solution

The fourth proportional to 463,202.31, 638,711.58 and 301,757.97 is: 416,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,202.31 : 638,711.58 = 301,757.97 : x
  2. Step 2: Convert to fraction form
    463,202.31/638,711.58 = 301,757.97/x
  3. Step 3: Cross multiply
    463,202.31x = 638,711.58 × 301,757.97
  4. Step 4: Simplify right side
    463,202.31x = 192,736,310,840.66
  5. Step 5: Solve for x
    x = 192,736,310,840.66/463,202.31
  6. Step 6: Final answer
    x = 416,095.31

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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.