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Finding the Fourth Proportional to 468,535.97, 646,578.78 and 253,676

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Solution

The fourth proportional to 468,535.97, 646,578.78 and 253,676 is: 350,072.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,535.97 : 646,578.78 = 253,676 : x
  2. Step 2: Convert to fraction form
    468,535.97/646,578.78 = 253,676/x
  3. Step 3: Cross multiply
    468,535.97x = 646,578.78 × 253,676
  4. Step 4: Simplify right side
    468,535.97x = 164,021,518,595.28
  5. Step 5: Solve for x
    x = 164,021,518,595.28/468,535.97
  6. Step 6: Final answer
    x = 350,072.42

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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.