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Finding the Fourth Proportional to 412,722.23, 569,315.36 and 259,517.85

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Solution

The fourth proportional to 412,722.23, 569,315.36 and 259,517.85 is: 357,982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,722.23 : 569,315.36 = 259,517.85 : x
  2. Step 2: Convert to fraction form
    412,722.23/569,315.36 = 259,517.85/x
  3. Step 3: Cross multiply
    412,722.23x = 569,315.36 × 259,517.85
  4. Step 4: Simplify right side
    412,722.23x = 147,747,496,901.59
  5. Step 5: Solve for x
    x = 147,747,496,901.59/412,722.23
  6. Step 6: Final answer
    x = 357,982.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.