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Finding the Fourth Proportional to 424,423.80, 585,700.20 and 233,439.84

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Solution

The fourth proportional to 424,423.80, 585,700.20 and 233,439.84 is: 322,144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,423.80 : 585,700.20 = 233,439.84 : x
  2. Step 2: Convert to fraction form
    424,423.80/585,700.20 = 233,439.84/x
  3. Step 3: Cross multiply
    424,423.80x = 585,700.20 × 233,439.84
  4. Step 4: Simplify right side
    424,423.80x = 136,725,760,975.97
  5. Step 5: Solve for x
    x = 136,725,760,975.97/424,423.80
  6. Step 6: Final answer
    x = 322,144.42

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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.