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Finding the Fourth Proportional to 468,662.75, 646,753.60 and 253,802.15

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Solution

The fourth proportional to 468,662.75, 646,753.60 and 253,802.15 is: 350,246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,662.75 : 646,753.60 = 253,802.15 : x
  2. Step 2: Convert to fraction form
    468,662.75/646,753.60 = 253,802.15/x
  3. Step 3: Cross multiply
    468,662.75x = 646,753.60 × 253,802.15
  4. Step 4: Simplify right side
    468,662.75x = 164,147,451,283.73
  5. Step 5: Solve for x
    x = 164,147,451,283.73/468,662.75
  6. Step 6: Final answer
    x = 350,246.43

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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.