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Finding the Fourth Proportional to 486,634.82, 730,213.67 and 202,521.25

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Solution

The fourth proportional to 486,634.82, 730,213.67 and 202,521.25 is: 303,890.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,634.82 : 730,213.67 = 202,521.25 : x
  2. Step 2: Convert to fraction form
    486,634.82/730,213.67 = 202,521.25/x
  3. Step 3: Cross multiply
    486,634.82x = 730,213.67 × 202,521.25
  4. Step 4: Simplify right side
    486,634.82x = 147,883,785,215.49
  5. Step 5: Solve for x
    x = 147,883,785,215.49/486,634.82
  6. Step 6: Final answer
    x = 303,890.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.