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Finding the Fourth Proportional to 411,076.14, 567,273.15 and 229,788.42

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Solution

The fourth proportional to 411,076.14, 567,273.15 and 229,788.42 is: 317,101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,076.14 : 567,273.15 = 229,788.42 : x
  2. Step 2: Convert to fraction form
    411,076.14/567,273.15 = 229,788.42/x
  3. Step 3: Cross multiply
    411,076.14x = 567,273.15 × 229,788.42
  4. Step 4: Simplify right side
    411,076.14x = 130,352,800,846.92
  5. Step 5: Solve for x
    x = 130,352,800,846.92/411,076.14
  6. Step 6: Final answer
    x = 317,101.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.