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Finding the Fourth Proportional to 650,694.92, 898,519.38 and 409,379.72

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Solution

The fourth proportional to 650,694.92, 898,519.38 and 409,379.72 is: 565,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,694.92 : 898,519.38 = 409,379.72 : x
  2. Step 2: Convert to fraction form
    650,694.92/898,519.38 = 409,379.72/x
  3. Step 3: Cross multiply
    650,694.92x = 898,519.38 × 409,379.72
  4. Step 4: Simplify right side
    650,694.92x = 367,835,612,198.97
  5. Step 5: Solve for x
    x = 367,835,612,198.97/650,694.92
  6. Step 6: Final answer
    x = 565,296.58

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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.