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Finding the Fourth Proportional to 468,874, 647,046.39 and 254,015.56

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Solution

The fourth proportional to 468,874, 647,046.39 and 254,015.56 is: 350,541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,874 : 647,046.39 = 254,015.56 : x
  2. Step 2: Convert to fraction form
    468,874/647,046.39 = 254,015.56/x
  3. Step 3: Cross multiply
    468,874x = 647,046.39 × 254,015.56
  4. Step 4: Simplify right side
    468,874x = 164,359,851,101.83
  5. Step 5: Solve for x
    x = 164,359,851,101.83/468,874
  6. Step 6: Final answer
    x = 350,541.62

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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.