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Finding the Fourth Proportional to 382,918.65, 574,732.64 and 193,512.30

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Solution

The fourth proportional to 382,918.65, 574,732.64 and 193,512.30 is: 290,447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,918.65 : 574,732.64 = 193,512.30 : x
  2. Step 2: Convert to fraction form
    382,918.65/574,732.64 = 193,512.30/x
  3. Step 3: Cross multiply
    382,918.65x = 574,732.64 × 193,512.30
  4. Step 4: Simplify right side
    382,918.65x = 111,217,832,291.50
  5. Step 5: Solve for x
    x = 111,217,832,291.50/382,918.65
  6. Step 6: Final answer
    x = 290,447.68

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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.