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Finding the Fourth Proportional to 541,414.62, 811,848.56 and 316,842.53

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Solution

The fourth proportional to 541,414.62, 811,848.56 and 316,842.53 is: 475,103.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,414.62 : 811,848.56 = 316,842.53 : x
  2. Step 2: Convert to fraction form
    541,414.62/811,848.56 = 316,842.53/x
  3. Step 3: Cross multiply
    541,414.62x = 811,848.56 × 316,842.53
  4. Step 4: Simplify right side
    541,414.62x = 257,228,146,083.80
  5. Step 5: Solve for x
    x = 257,228,146,083.80/541,414.62
  6. Step 6: Final answer
    x = 475,103.81

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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.