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Finding the Fourth Proportional to 412,730.88, 569,650.31 and 267,716.38

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Solution

The fourth proportional to 412,730.88, 569,650.31 and 267,716.38 is: 369,501.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,730.88 : 569,650.31 = 267,716.38 : x
  2. Step 2: Convert to fraction form
    412,730.88/569,650.31 = 267,716.38/x
  3. Step 3: Cross multiply
    412,730.88x = 569,650.31 × 267,716.38
  4. Step 4: Simplify right side
    412,730.88x = 152,504,714,672.24
  5. Step 5: Solve for x
    x = 152,504,714,672.24/412,730.88
  6. Step 6: Final answer
    x = 369,501.59

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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.