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Finding the Fourth Proportional to 408,372.33, 612,683.10 and 208,832.88

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Solution

The fourth proportional to 408,372.33, 612,683.10 and 208,832.88 is: 313,313.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,372.33 : 612,683.10 = 208,832.88 : x
  2. Step 2: Convert to fraction form
    408,372.33/612,683.10 = 208,832.88/x
  3. Step 3: Cross multiply
    408,372.33x = 612,683.10 × 208,832.88
  4. Step 4: Simplify right side
    408,372.33x = 127,948,376,300.33
  5. Step 5: Solve for x
    x = 127,948,376,300.33/408,372.33
  6. Step 6: Final answer
    x = 313,313.04

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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.