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Finding the Fourth Proportional to 412,511.91, 569,301.26 and 231,220.95

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Solution

The fourth proportional to 412,511.91, 569,301.26 and 231,220.95 is: 319,104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,511.91 : 569,301.26 = 231,220.95 : x
  2. Step 2: Convert to fraction form
    412,511.91/569,301.26 = 231,220.95/x
  3. Step 3: Cross multiply
    412,511.91x = 569,301.26 × 231,220.95
  4. Step 4: Simplify right side
    412,511.91x = 131,634,377,017.29
  5. Step 5: Solve for x
    x = 131,634,377,017.29/412,511.91
  6. Step 6: Final answer
    x = 319,104.43

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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.