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Finding the Fourth Proportional to 468,809.24, 646,959.87 and 253,949.31

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Solution

The fourth proportional to 468,809.24, 646,959.87 and 253,949.31 is: 350,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,809.24 : 646,959.87 = 253,949.31 : x
  2. Step 2: Convert to fraction form
    468,809.24/646,959.87 = 253,949.31/x
  3. Step 3: Cross multiply
    468,809.24x = 646,959.87 × 253,949.31
  4. Step 4: Simplify right side
    468,809.24x = 164,295,012,584.19
  5. Step 5: Solve for x
    x = 164,295,012,584.19/468,809.24
  6. Step 6: Final answer
    x = 350,451.74

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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.