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Finding the Fourth Proportional to 468,963.74, 647,170.54 and 254,103.64

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Solution

The fourth proportional to 468,963.74, 647,170.54 and 254,103.64 is: 350,663.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,963.74 : 647,170.54 = 254,103.64 : x
  2. Step 2: Convert to fraction form
    468,963.74/647,170.54 = 254,103.64/x
  3. Step 3: Cross multiply
    468,963.74x = 647,170.54 × 254,103.64
  4. Step 4: Simplify right side
    468,963.74x = 164,448,387,661.58
  5. Step 5: Solve for x
    x = 164,448,387,661.58/468,963.74
  6. Step 6: Final answer
    x = 350,663.33

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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.