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Finding the Fourth Proportional to 412,435.32, 569,167.47 and 231,187.56

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Solution

The fourth proportional to 412,435.32, 569,167.47 and 231,187.56 is: 319,042.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,435.32 : 569,167.47 = 231,187.56 : x
  2. Step 2: Convert to fraction form
    412,435.32/569,167.47 = 231,187.56/x
  3. Step 3: Cross multiply
    412,435.32x = 569,167.47 × 231,187.56
  4. Step 4: Simplify right side
    412,435.32x = 131,584,438,620.67
  5. Step 5: Solve for x
    x = 131,584,438,620.67/412,435.32
  6. Step 6: Final answer
    x = 319,042.60

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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.