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Finding the Fourth Proportional to 493,630.80, 740,446.20 and 178,136.40

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Solution

The fourth proportional to 493,630.80, 740,446.20 and 178,136.40 is: 267,204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,630.80 : 740,446.20 = 178,136.40 : x
  2. Step 2: Convert to fraction form
    493,630.80/740,446.20 = 178,136.40/x
  3. Step 3: Cross multiply
    493,630.80x = 740,446.20 × 178,136.40
  4. Step 4: Simplify right side
    493,630.80x = 131,900,420,461.68
  5. Step 5: Solve for x
    x = 131,900,420,461.68/493,630.80
  6. Step 6: Final answer
    x = 267,204.60

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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.