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Finding the Fourth Proportional to 424,452.84, 585,735.24 and 233,462.16

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Solution

The fourth proportional to 424,452.84, 585,735.24 and 233,462.16 is: 322,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,452.84 : 585,735.24 = 233,462.16 : x
  2. Step 2: Convert to fraction form
    424,452.84/585,735.24 = 233,462.16/x
  3. Step 3: Cross multiply
    424,452.84x = 585,735.24 × 233,462.16
  4. Step 4: Simplify right side
    424,452.84x = 136,747,014,318.52
  5. Step 5: Solve for x
    x = 136,747,014,318.52/424,452.84
  6. Step 6: Final answer
    x = 322,172.46

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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.