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Finding the Fourth Proportional to 412,680.57, 569,497.01 and 231,392.31

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Solution

The fourth proportional to 412,680.57, 569,497.01 and 231,392.31 is: 319,320.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,680.57 : 569,497.01 = 231,392.31 : x
  2. Step 2: Convert to fraction form
    412,680.57/569,497.01 = 231,392.31/x
  3. Step 3: Cross multiply
    412,680.57x = 569,497.01 × 231,392.31
  4. Step 4: Simplify right side
    412,680.57x = 131,777,227,525.03
  5. Step 5: Solve for x
    x = 131,777,227,525.03/412,680.57
  6. Step 6: Final answer
    x = 319,320.16

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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.