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Finding the Fourth Proportional to 541,392.23, 811,759.50 and 271,206.15

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Solution

The fourth proportional to 541,392.23, 811,759.50 and 271,206.15 is: 406,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,392.23 : 811,759.50 = 271,206.15 : x
  2. Step 2: Convert to fraction form
    541,392.23/811,759.50 = 271,206.15/x
  3. Step 3: Cross multiply
    541,392.23x = 811,759.50 × 271,206.15
  4. Step 4: Simplify right side
    541,392.23x = 220,154,167,197.13
  5. Step 5: Solve for x
    x = 220,154,167,197.13/541,392.23
  6. Step 6: Final answer
    x = 406,644.49

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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.