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Finding the Fourth Proportional to 464,855.54, 641,468.85 and 260,882.42

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Solution

The fourth proportional to 464,855.54, 641,468.85 and 260,882.42 is: 359,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,855.54 : 641,468.85 = 260,882.42 : x
  2. Step 2: Convert to fraction form
    464,855.54/641,468.85 = 260,882.42/x
  3. Step 3: Cross multiply
    464,855.54x = 641,468.85 × 260,882.42
  4. Step 4: Simplify right side
    464,855.54x = 167,347,945,942.62
  5. Step 5: Solve for x
    x = 167,347,945,942.62/464,855.54
  6. Step 6: Final answer
    x = 359,999.90

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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.