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Finding the Fourth Proportional to 424,174.89, 585,361.35 and 233,188.30

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Solution

The fourth proportional to 424,174.89, 585,361.35 and 233,188.30 is: 321,799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,174.89 : 585,361.35 = 233,188.30 : x
  2. Step 2: Convert to fraction form
    424,174.89/585,361.35 = 233,188.30/x
  3. Step 3: Cross multiply
    424,174.89x = 585,361.35 × 233,188.30
  4. Step 4: Simplify right side
    424,174.89x = 136,499,416,628.80
  5. Step 5: Solve for x
    x = 136,499,416,628.80/424,174.89
  6. Step 6: Final answer
    x = 321,799.85

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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.