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Finding the Fourth Proportional to 422,811.96, 583,476.06 and 231,824.88

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Solution

The fourth proportional to 422,811.96, 583,476.06 and 231,824.88 is: 319,915.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,811.96 : 583,476.06 = 231,824.88 : x
  2. Step 2: Convert to fraction form
    422,811.96/583,476.06 = 231,824.88/x
  3. Step 3: Cross multiply
    422,811.96x = 583,476.06 × 231,824.88
  4. Step 4: Simplify right side
    422,811.96x = 135,264,267,592.37
  5. Step 5: Solve for x
    x = 135,264,267,592.37/422,811.96
  6. Step 6: Final answer
    x = 319,915.90

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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.