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Finding the Fourth Proportional to 361,204.20, 541,806.30 and 266,725.80

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Solution

The fourth proportional to 361,204.20, 541,806.30 and 266,725.80 is: 400,088.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,204.20 : 541,806.30 = 266,725.80 : x
  2. Step 2: Convert to fraction form
    361,204.20/541,806.30 = 266,725.80/x
  3. Step 3: Cross multiply
    361,204.20x = 541,806.30 × 266,725.80
  4. Step 4: Simplify right side
    361,204.20x = 144,513,718,812.54
  5. Step 5: Solve for x
    x = 144,513,718,812.54/361,204.20
  6. Step 6: Final answer
    x = 400,088.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.