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Finding the Fourth Proportional to 402,727.44, 555,778.14 and 221,453.16

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Solution

The fourth proportional to 402,727.44, 555,778.14 and 221,453.16 is: 305,613.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,727.44 : 555,778.14 = 221,453.16 : x
  2. Step 2: Convert to fraction form
    402,727.44/555,778.14 = 221,453.16/x
  3. Step 3: Cross multiply
    402,727.44x = 555,778.14 × 221,453.16
  4. Step 4: Simplify right side
    402,727.44x = 123,078,825,361.92
  5. Step 5: Solve for x
    x = 123,078,825,361.92/402,727.44
  6. Step 6: Final answer
    x = 305,613.21

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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.