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Finding the Fourth Proportional to 424,450.89, 585,729.87 and 233,464.23

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Solution

The fourth proportional to 424,450.89, 585,729.87 and 233,464.23 is: 322,173.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,450.89 : 585,729.87 = 233,464.23 : x
  2. Step 2: Convert to fraction form
    424,450.89/585,729.87 = 233,464.23/x
  3. Step 3: Cross multiply
    424,450.89x = 585,729.87 × 233,464.23
  4. Step 4: Simplify right side
    424,450.89x = 136,746,973,087.55
  5. Step 5: Solve for x
    x = 136,746,973,087.55/424,450.89
  6. Step 6: Final answer
    x = 322,173.84

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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.