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Finding the Fourth Proportional to 412,704.56, 569,534.28 and 269,379.92

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Solution

The fourth proportional to 412,704.56, 569,534.28 and 269,379.92 is: 371,745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,704.56 : 569,534.28 = 269,379.92 : x
  2. Step 2: Convert to fraction form
    412,704.56/569,534.28 = 269,379.92/x
  3. Step 3: Cross multiply
    412,704.56x = 569,534.28 × 269,379.92
  4. Step 4: Simplify right side
    412,704.56x = 153,421,098,783.66
  5. Step 5: Solve for x
    x = 153,421,098,783.66/412,704.56
  6. Step 6: Final answer
    x = 371,745.59

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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.