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Finding the Fourth Proportional to 412,532.66, 569,329.89 and 231,241.70

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Solution

The fourth proportional to 412,532.66, 569,329.89 and 231,241.70 is: 319,133.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,532.66 : 569,329.89 = 231,241.70 : x
  2. Step 2: Convert to fraction form
    412,532.66/569,329.89 = 231,241.70/x
  3. Step 3: Cross multiply
    412,532.66x = 569,329.89 × 231,241.70
  4. Step 4: Simplify right side
    412,532.66x = 131,652,811,624.41
  5. Step 5: Solve for x
    x = 131,652,811,624.41/412,532.66
  6. Step 6: Final answer
    x = 319,133.06

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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.