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Finding the Fourth Proportional to 408,821.82, 613,235.52 and 156,034.14

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Solution

The fourth proportional to 408,821.82, 613,235.52 and 156,034.14 is: 234,052.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,821.82 : 613,235.52 = 156,034.14 : x
  2. Step 2: Convert to fraction form
    408,821.82/613,235.52 = 156,034.14/x
  3. Step 3: Cross multiply
    408,821.82x = 613,235.52 × 156,034.14
  4. Step 4: Simplify right side
    408,821.82x = 95,685,676,980.65
  5. Step 5: Solve for x
    x = 95,685,676,980.65/408,821.82
  6. Step 6: Final answer
    x = 234,052.27

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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.