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Finding the Fourth Proportional to 541,201.80, 811,785.96 and 257,096.84

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Solution

The fourth proportional to 541,201.80, 811,785.96 and 257,096.84 is: 385,637.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,201.80 : 811,785.96 = 257,096.84 : x
  2. Step 2: Convert to fraction form
    541,201.80/811,785.96 = 257,096.84/x
  3. Step 3: Cross multiply
    541,201.80x = 811,785.96 × 257,096.84
  4. Step 4: Simplify right side
    541,201.80x = 208,707,605,072.37
  5. Step 5: Solve for x
    x = 208,707,605,072.37/541,201.80
  6. Step 6: Final answer
    x = 385,637.31

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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.