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Finding the Fourth Proportional to 501,791.73, 692,157.60 and 297,698.15

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Solution

The fourth proportional to 501,791.73, 692,157.60 and 297,698.15 is: 410,636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,791.73 : 692,157.60 = 297,698.15 : x
  2. Step 2: Convert to fraction form
    501,791.73/692,157.60 = 297,698.15/x
  3. Step 3: Cross multiply
    501,791.73x = 692,157.60 × 297,698.15
  4. Step 4: Simplify right side
    501,791.73x = 206,054,037,028.44
  5. Step 5: Solve for x
    x = 206,054,037,028.44/501,791.73
  6. Step 6: Final answer
    x = 410,636.57

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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.