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Finding the Fourth Proportional to 404,684.16, 558,464.24 and 223,396.21

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Solution

The fourth proportional to 404,684.16, 558,464.24 and 223,396.21 is: 308,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,684.16 : 558,464.24 = 223,396.21 : x
  2. Step 2: Convert to fraction form
    404,684.16/558,464.24 = 223,396.21/x
  3. Step 3: Cross multiply
    404,684.16x = 558,464.24 × 223,396.21
  4. Step 4: Simplify right side
    404,684.16x = 124,758,794,636.53
  5. Step 5: Solve for x
    x = 124,758,794,636.53/404,684.16
  6. Step 6: Final answer
    x = 308,286.82

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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.