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Finding the Fourth Proportional to 431,992.08, 648,277.38 and 179,272.80

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Solution

The fourth proportional to 431,992.08, 648,277.38 and 179,272.80 is: 269,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,992.08 : 648,277.38 = 179,272.80 : x
  2. Step 2: Convert to fraction form
    431,992.08/648,277.38 = 179,272.80/x
  3. Step 3: Cross multiply
    431,992.08x = 648,277.38 × 179,272.80
  4. Step 4: Simplify right side
    431,992.08x = 116,218,501,089.26
  5. Step 5: Solve for x
    x = 116,218,501,089.26/431,992.08
  6. Step 6: Final answer
    x = 269,029.24

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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.