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Finding the Fourth Proportional to 541,208.54, 811,796.07 and 257,103.61

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Solution

The fourth proportional to 541,208.54, 811,796.07 and 257,103.61 is: 385,647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,208.54 : 811,796.07 = 257,103.61 : x
  2. Step 2: Convert to fraction form
    541,208.54/811,796.07 = 257,103.61/x
  3. Step 3: Cross multiply
    541,208.54x = 811,796.07 × 257,103.61
  4. Step 4: Simplify right side
    541,208.54x = 208,715,700,180.81
  5. Step 5: Solve for x
    x = 208,715,700,180.81/541,208.54
  6. Step 6: Final answer
    x = 385,647.46

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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.