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Finding the Fourth Proportional to 404,505.20, 606,709.20 and 167,823.20

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Solution

The fourth proportional to 404,505.20, 606,709.20 and 167,823.20 is: 251,714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,505.20 : 606,709.20 = 167,823.20 : x
  2. Step 2: Convert to fraction form
    404,505.20/606,709.20 = 167,823.20/x
  3. Step 3: Cross multiply
    404,505.20x = 606,709.20 × 167,823.20
  4. Step 4: Simplify right side
    404,505.20x = 101,819,879,413.44
  5. Step 5: Solve for x
    x = 101,819,879,413.44/404,505.20
  6. Step 6: Final answer
    x = 251,714.64

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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.