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Finding the Fourth Proportional to 412,954.03, 569,822.02 and 231,659.02

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Solution

The fourth proportional to 412,954.03, 569,822.02 and 231,659.02 is: 319,658.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,954.03 : 569,822.02 = 231,659.02 : x
  2. Step 2: Convert to fraction form
    412,954.03/569,822.02 = 231,659.02/x
  3. Step 3: Cross multiply
    412,954.03x = 569,822.02 × 231,659.02
  4. Step 4: Simplify right side
    412,954.03x = 132,004,408,723.92
  5. Step 5: Solve for x
    x = 132,004,408,723.92/412,954.03
  6. Step 6: Final answer
    x = 319,658.85

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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.