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Finding the Fourth Proportional to 468,465.14, 646,481.74 and 253,605.04

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Solution

The fourth proportional to 468,465.14, 646,481.74 and 253,605.04 is: 349,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,465.14 : 646,481.74 = 253,605.04 : x
  2. Step 2: Convert to fraction form
    468,465.14/646,481.74 = 253,605.04/x
  3. Step 3: Cross multiply
    468,465.14x = 646,481.74 × 253,605.04
  4. Step 4: Simplify right side
    468,465.14x = 163,951,027,531.97
  5. Step 5: Solve for x
    x = 163,951,027,531.97/468,465.14
  6. Step 6: Final answer
    x = 349,974.87

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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.