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Finding the Fourth Proportional to 541,083.48, 811,617 and 186,100.58

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Solution

The fourth proportional to 541,083.48, 811,617 and 186,100.58 is: 279,148.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,083.48 : 811,617 = 186,100.58 : x
  2. Step 2: Convert to fraction form
    541,083.48/811,617 = 186,100.58/x
  3. Step 3: Cross multiply
    541,083.48x = 811,617 × 186,100.58
  4. Step 4: Simplify right side
    541,083.48x = 151,042,394,437.86
  5. Step 5: Solve for x
    x = 151,042,394,437.86/541,083.48
  6. Step 6: Final answer
    x = 279,148.04

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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.