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Finding the Fourth Proportional to 468,194.22, 646,105.95 and 253,338.09

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Solution

The fourth proportional to 468,194.22, 646,105.95 and 253,338.09 is: 349,605.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,194.22 : 646,105.95 = 253,338.09 : x
  2. Step 2: Convert to fraction form
    468,194.22/646,105.95 = 253,338.09/x
  3. Step 3: Cross multiply
    468,194.22x = 646,105.95 × 253,338.09
  4. Step 4: Simplify right side
    468,194.22x = 163,683,247,310.64
  5. Step 5: Solve for x
    x = 163,683,247,310.64/468,194.22
  6. Step 6: Final answer
    x = 349,605.44

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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.