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Finding the Fourth Proportional to 541,206.54, 811,793.07 and 257,101.61

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Solution

The fourth proportional to 541,206.54, 811,793.07 and 257,101.61 is: 385,644.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,206.54 : 811,793.07 = 257,101.61 : x
  2. Step 2: Convert to fraction form
    541,206.54/811,793.07 = 257,101.61/x
  3. Step 3: Cross multiply
    541,206.54x = 811,793.07 × 257,101.61
  4. Step 4: Simplify right side
    541,206.54x = 208,713,301,224.88
  5. Step 5: Solve for x
    x = 208,713,301,224.88/541,206.54
  6. Step 6: Final answer
    x = 385,644.46

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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.