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Finding the Fourth Proportional to 498,660.47, 688,201.26 and 297,456.47

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Solution

The fourth proportional to 498,660.47, 688,201.26 and 297,456.47 is: 410,519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,660.47 : 688,201.26 = 297,456.47 : x
  2. Step 2: Convert to fraction form
    498,660.47/688,201.26 = 297,456.47/x
  3. Step 3: Cross multiply
    498,660.47x = 688,201.26 × 297,456.47
  4. Step 4: Simplify right side
    498,660.47x = 204,709,917,449.15
  5. Step 5: Solve for x
    x = 204,709,917,449.15/498,660.47
  6. Step 6: Final answer
    x = 410,519.64

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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.