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Finding the Fourth Proportional to 541,208.79, 811,796.45 and 257,103.86

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Solution

The fourth proportional to 541,208.79, 811,796.45 and 257,103.86 is: 385,647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,208.79 : 811,796.45 = 257,103.86 : x
  2. Step 2: Convert to fraction form
    541,208.79/811,796.45 = 257,103.86/x
  3. Step 3: Cross multiply
    541,208.79x = 811,796.45 × 257,103.86
  4. Step 4: Simplify right side
    541,208.79x = 208,715,995,484.80
  5. Step 5: Solve for x
    x = 208,715,995,484.80/541,208.79
  6. Step 6: Final answer
    x = 385,647.83

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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.