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Finding the Fourth Proportional to 381,685.80, 572,039.10 and 213,205.80

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Solution

The fourth proportional to 381,685.80, 572,039.10 and 213,205.80 is: 319,535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,685.80 : 572,039.10 = 213,205.80 : x
  2. Step 2: Convert to fraction form
    381,685.80/572,039.10 = 213,205.80/x
  3. Step 3: Cross multiply
    381,685.80x = 572,039.10 × 213,205.80
  4. Step 4: Simplify right side
    381,685.80x = 121,962,053,946.78
  5. Step 5: Solve for x
    x = 121,962,053,946.78/381,685.80
  6. Step 6: Final answer
    x = 319,535.21

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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.