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Finding the Fourth Proportional to 412,846.88, 569,849.68 and 269,629.20

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Solution

The fourth proportional to 412,846.88, 569,849.68 and 269,629.20 is: 372,167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,846.88 : 569,849.68 = 269,629.20 : x
  2. Step 2: Convert to fraction form
    412,846.88/569,849.68 = 269,629.20/x
  3. Step 3: Cross multiply
    412,846.88x = 569,849.68 × 269,629.20
  4. Step 4: Simplify right side
    412,846.88x = 153,648,113,338.66
  5. Step 5: Solve for x
    x = 153,648,113,338.66/412,846.88
  6. Step 6: Final answer
    x = 372,167.31

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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.