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Finding the Fourth Proportional to 557,336.82, 769,172.24 and 315,662.38

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Solution

The fourth proportional to 557,336.82, 769,172.24 and 315,662.38 is: 435,640.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,336.82 : 769,172.24 = 315,662.38 : x
  2. Step 2: Convert to fraction form
    557,336.82/769,172.24 = 315,662.38/x
  3. Step 3: Cross multiply
    557,336.82x = 769,172.24 × 315,662.38
  4. Step 4: Simplify right side
    557,336.82x = 242,798,744,414.12
  5. Step 5: Solve for x
    x = 242,798,744,414.12/557,336.82
  6. Step 6: Final answer
    x = 435,640.96

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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.