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Finding the Fourth Proportional to 541,383.48, 811,539.54 and 256,573.44

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Solution

The fourth proportional to 541,383.48, 811,539.54 and 256,573.44 is: 384,606.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,383.48 : 811,539.54 = 256,573.44 : x
  2. Step 2: Convert to fraction form
    541,383.48/811,539.54 = 256,573.44/x
  3. Step 3: Cross multiply
    541,383.48x = 811,539.54 × 256,573.44
  4. Step 4: Simplify right side
    541,383.48x = 208,219,491,473.82
  5. Step 5: Solve for x
    x = 208,219,491,473.82/541,383.48
  6. Step 6: Final answer
    x = 384,606.29

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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.