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Finding the Fourth Proportional to 468,960.71, 647,168.74 and 254,102.33

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Solution

The fourth proportional to 468,960.71, 647,168.74 and 254,102.33 is: 350,662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,960.71 : 647,168.74 = 254,102.33 : x
  2. Step 2: Convert to fraction form
    468,960.71/647,168.74 = 254,102.33/x
  3. Step 3: Cross multiply
    468,960.71x = 647,168.74 × 254,102.33
  4. Step 4: Simplify right side
    468,960.71x = 164,447,085,719.83
  5. Step 5: Solve for x
    x = 164,447,085,719.83/468,960.71
  6. Step 6: Final answer
    x = 350,662.83

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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.