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Finding the Fourth Proportional to 424,138.91, 585,301.41 and 230,542.02

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Solution

The fourth proportional to 424,138.91, 585,301.41 and 230,542.02 is: 318,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,138.91 : 585,301.41 = 230,542.02 : x
  2. Step 2: Convert to fraction form
    424,138.91/585,301.41 = 230,542.02/x
  3. Step 3: Cross multiply
    424,138.91x = 585,301.41 × 230,542.02
  4. Step 4: Simplify right side
    424,138.91x = 134,936,569,370.25
  5. Step 5: Solve for x
    x = 134,936,569,370.25/424,138.91
  6. Step 6: Final answer
    x = 318,142.40

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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.