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Finding the Fourth Proportional to 431,996.89, 648,284.63 and 179,277.61

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Solution

The fourth proportional to 431,996.89, 648,284.63 and 179,277.61 is: 269,036.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,996.89 : 648,284.63 = 179,277.61 : x
  2. Step 2: Convert to fraction form
    431,996.89/648,284.63 = 179,277.61/x
  3. Step 3: Cross multiply
    431,996.89x = 648,284.63 × 179,277.61
  4. Step 4: Simplify right side
    431,996.89x = 116,222,920,462.75
  5. Step 5: Solve for x
    x = 116,222,920,462.75/431,996.89
  6. Step 6: Final answer
    x = 269,036.47

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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.