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Finding the Fourth Proportional to 412,437.32, 569,185.80 and 231,207.46

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Solution

The fourth proportional to 412,437.32, 569,185.80 and 231,207.46 is: 319,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,437.32 : 569,185.80 = 231,207.46 : x
  2. Step 2: Convert to fraction form
    412,437.32/569,185.80 = 231,207.46/x
  3. Step 3: Cross multiply
    412,437.32x = 569,185.80 × 231,207.46
  4. Step 4: Simplify right side
    412,437.32x = 131,600,003,086.07
  5. Step 5: Solve for x
    x = 131,600,003,086.07/412,437.32
  6. Step 6: Final answer
    x = 319,078.80

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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.