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Finding the Fourth Proportional to 468,946.38, 647,145.10 and 254,092.26

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Solution

The fourth proportional to 468,946.38, 647,145.10 and 254,092.26 is: 350,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,946.38 : 647,145.10 = 254,092.26 : x
  2. Step 2: Convert to fraction form
    468,946.38/647,145.10 = 254,092.26/x
  3. Step 3: Cross multiply
    468,946.38x = 647,145.10 × 254,092.26
  4. Step 4: Simplify right side
    468,946.38x = 164,434,561,006.93
  5. Step 5: Solve for x
    x = 164,434,561,006.93/468,946.38
  6. Step 6: Final answer
    x = 350,646.83

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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.