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Finding the Fourth Proportional to 463,053.31, 694,579.96 and 305,244.86

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Solution

The fourth proportional to 463,053.31, 694,579.96 and 305,244.86 is: 457,867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,053.31 : 694,579.96 = 305,244.86 : x
  2. Step 2: Convert to fraction form
    463,053.31/694,579.96 = 305,244.86/x
  3. Step 3: Cross multiply
    463,053.31x = 694,579.96 × 305,244.86
  4. Step 4: Simplify right side
    463,053.31x = 212,016,959,557.66
  5. Step 5: Solve for x
    x = 212,016,959,557.66/463,053.31
  6. Step 6: Final answer
    x = 457,867.28

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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.