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Finding the Fourth Proportional to 443,107.73, 664,878.47 and 274,582.97

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Solution

The fourth proportional to 443,107.73, 664,878.47 and 274,582.97 is: 412,008.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,107.73 : 664,878.47 = 274,582.97 : x
  2. Step 2: Convert to fraction form
    443,107.73/664,878.47 = 274,582.97/x
  3. Step 3: Cross multiply
    443,107.73x = 664,878.47 × 274,582.97
  4. Step 4: Simplify right side
    443,107.73x = 182,564,300,284.35
  5. Step 5: Solve for x
    x = 182,564,300,284.35/443,107.73
  6. Step 6: Final answer
    x = 412,008.84

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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.