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Finding the Fourth Proportional to 541,216.69, 811,808.26 and 257,111.69

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Solution

The fourth proportional to 541,216.69, 811,808.26 and 257,111.69 is: 385,659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,216.69 : 811,808.26 = 257,111.69 : x
  2. Step 2: Convert to fraction form
    541,216.69/811,808.26 = 257,111.69/x
  3. Step 3: Cross multiply
    541,216.69x = 811,808.26 × 257,111.69
  4. Step 4: Simplify right side
    541,216.69x = 208,725,388,982.74
  5. Step 5: Solve for x
    x = 208,725,388,982.74/541,216.69
  6. Step 6: Final answer
    x = 385,659.56

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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.