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Finding the Fourth Proportional to 324,493.65, 447,168.60 and 233,678.03

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Solution

The fourth proportional to 324,493.65, 447,168.60 and 233,678.03 is: 322,020.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,493.65 : 447,168.60 = 233,678.03 : x
  2. Step 2: Convert to fraction form
    324,493.65/447,168.60 = 233,678.03/x
  3. Step 3: Cross multiply
    324,493.65x = 447,168.60 × 233,678.03
  4. Step 4: Simplify right side
    324,493.65x = 104,493,475,290.02
  5. Step 5: Solve for x
    x = 104,493,475,290.02/324,493.65
  6. Step 6: Final answer
    x = 322,020.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.