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Finding the Fourth Proportional to 320,852.48, 481,751.80 and 178,974.96

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Solution

The fourth proportional to 320,852.48, 481,751.80 and 178,974.96 is: 268,726.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,852.48 : 481,751.80 = 178,974.96 : x
  2. Step 2: Convert to fraction form
    320,852.48/481,751.80 = 178,974.96/x
  3. Step 3: Cross multiply
    320,852.48x = 481,751.80 × 178,974.96
  4. Step 4: Simplify right side
    320,852.48x = 86,221,509,134.93
  5. Step 5: Solve for x
    x = 86,221,509,134.93/320,852.48
  6. Step 6: Final answer
    x = 268,726.33

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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.