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Finding the Fourth Proportional to 408,832.10, 613,029.45 and 171,907.10

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Solution

The fourth proportional to 408,832.10, 613,029.45 and 171,907.10 is: 257,768.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,832.10 : 613,029.45 = 171,907.10 : x
  2. Step 2: Convert to fraction form
    408,832.10/613,029.45 = 171,907.10/x
  3. Step 3: Cross multiply
    408,832.10x = 613,029.45 × 171,907.10
  4. Step 4: Simplify right side
    408,832.10x = 105,384,114,964.10
  5. Step 5: Solve for x
    x = 105,384,114,964.10/408,832.10
  6. Step 6: Final answer
    x = 257,768.69

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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.