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Finding the Fourth Proportional to 412,450.48, 569,228.88 and 231,211.36

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Solution

The fourth proportional to 412,450.48, 569,228.88 and 231,211.36 is: 319,098.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,450.48 : 569,228.88 = 231,211.36 : x
  2. Step 2: Convert to fraction form
    412,450.48/569,228.88 = 231,211.36/x
  3. Step 3: Cross multiply
    412,450.48x = 569,228.88 × 231,211.36
  4. Step 4: Simplify right side
    412,450.48x = 131,612,183,496.08
  5. Step 5: Solve for x
    x = 131,612,183,496.08/412,450.48
  6. Step 6: Final answer
    x = 319,098.15

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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.