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Finding the Fourth Proportional to 412,738.16, 569,569.78 and 231,446.11

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Solution

The fourth proportional to 412,738.16, 569,569.78 and 231,446.11 is: 319,390.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,738.16 : 569,569.78 = 231,446.11 : x
  2. Step 2: Convert to fraction form
    412,738.16/569,569.78 = 231,446.11/x
  3. Step 3: Cross multiply
    412,738.16x = 569,569.78 × 231,446.11
  4. Step 4: Simplify right side
    412,738.16x = 131,824,709,375.94
  5. Step 5: Solve for x
    x = 131,824,709,375.94/412,738.16
  6. Step 6: Final answer
    x = 319,390.65

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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.