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Finding the Fourth Proportional to 424,591.10, 585,936.72 and 233,616.80

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Solution

The fourth proportional to 424,591.10, 585,936.72 and 233,616.80 is: 322,391.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,591.10 : 585,936.72 = 233,616.80 : x
  2. Step 2: Convert to fraction form
    424,591.10/585,936.72 = 233,616.80/x
  3. Step 3: Cross multiply
    424,591.10x = 585,936.72 × 233,616.80
  4. Step 4: Simplify right side
    424,591.10x = 136,884,661,528.90
  5. Step 5: Solve for x
    x = 136,884,661,528.90/424,591.10
  6. Step 6: Final answer
    x = 322,391.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.