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Finding the Fourth Proportional to 382,206.80, 573,137.40 and 171,736.40

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Solution

The fourth proportional to 382,206.80, 573,137.40 and 171,736.40 is: 257,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,206.80 : 573,137.40 = 171,736.40 : x
  2. Step 2: Convert to fraction form
    382,206.80/573,137.40 = 171,736.40/x
  3. Step 3: Cross multiply
    382,206.80x = 573,137.40 × 171,736.40
  4. Step 4: Simplify right side
    382,206.80x = 98,428,553,781.36
  5. Step 5: Solve for x
    x = 98,428,553,781.36/382,206.80
  6. Step 6: Final answer
    x = 257,526.96

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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.