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Finding the Fourth Proportional to 408,519.84, 612,778.85 and 194,638.53

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Solution

The fourth proportional to 408,519.84, 612,778.85 and 194,638.53 is: 291,957.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,519.84 : 612,778.85 = 194,638.53 : x
  2. Step 2: Convert to fraction form
    408,519.84/612,778.85 = 194,638.53/x
  3. Step 3: Cross multiply
    408,519.84x = 612,778.85 × 194,638.53
  4. Step 4: Simplify right side
    408,519.84x = 119,270,374,579.09
  5. Step 5: Solve for x
    x = 119,270,374,579.09/408,519.84
  6. Step 6: Final answer
    x = 291,957.36

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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.