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Finding the Fourth Proportional to 541,394.23, 811,762.50 and 271,208.15

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Solution

The fourth proportional to 541,394.23, 811,762.50 and 271,208.15 is: 406,647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,394.23 : 811,762.50 = 271,208.15 : x
  2. Step 2: Convert to fraction form
    541,394.23/811,762.50 = 271,208.15/x
  3. Step 3: Cross multiply
    541,394.23x = 811,762.50 × 271,208.15
  4. Step 4: Simplify right side
    541,394.23x = 220,156,605,864.38
  5. Step 5: Solve for x
    x = 220,156,605,864.38/541,394.23
  6. Step 6: Final answer
    x = 406,647.49

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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.