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Finding the Fourth Proportional to 257,064.60, 385,136.10 and 220,200.60

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Solution

The fourth proportional to 257,064.60, 385,136.10 and 220,200.60 is: 329,906.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,064.60 : 385,136.10 = 220,200.60 : x
  2. Step 2: Convert to fraction form
    257,064.60/385,136.10 = 220,200.60/x
  3. Step 3: Cross multiply
    257,064.60x = 385,136.10 × 220,200.60
  4. Step 4: Simplify right side
    257,064.60x = 84,807,200,301.66
  5. Step 5: Solve for x
    x = 84,807,200,301.66/257,064.60
  6. Step 6: Final answer
    x = 329,906.18

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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.