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Finding the Fourth Proportional to 412,952.34, 569,865.26 and 231,660.98

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Solution

The fourth proportional to 412,952.34, 569,865.26 and 231,660.98 is: 319,687.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,952.34 : 569,865.26 = 231,660.98 : x
  2. Step 2: Convert to fraction form
    412,952.34/569,865.26 = 231,660.98/x
  3. Step 3: Cross multiply
    412,952.34x = 569,865.26 × 231,660.98
  4. Step 4: Simplify right side
    412,952.34x = 132,015,544,599.56
  5. Step 5: Solve for x
    x = 132,015,544,599.56/412,952.34
  6. Step 6: Final answer
    x = 319,687.12

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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.