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Finding the Fourth Proportional to 468,974.97, 647,218.30 and 265,044.74

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Solution

The fourth proportional to 468,974.97, 647,218.30 and 265,044.74 is: 365,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,974.97 : 647,218.30 = 265,044.74 : x
  2. Step 2: Convert to fraction form
    468,974.97/647,218.30 = 265,044.74/x
  3. Step 3: Cross multiply
    468,974.97x = 647,218.30 × 265,044.74
  4. Step 4: Simplify right side
    468,974.97x = 171,541,802,810.65
  5. Step 5: Solve for x
    x = 171,541,802,810.65/468,974.97
  6. Step 6: Final answer
    x = 365,780.29

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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.